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Finding the Fourth Proportional to 612,221,975,999.80, 918,332,963,999.70 and 612,221,975,999.80

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Solution

The fourth proportional to 612,221,975,999.80, 918,332,963,999.70 and 612,221,975,999.80 is: 918,332,963,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,221,975,999.80 : 918,332,963,999.70 = 612,221,975,999.80 : x
  2. Step 2: Convert to fraction form
    612,221,975,999.80/918,332,963,999.70 = 612,221,975,999.80/x
  3. Step 3: Cross multiply
    612,221,975,999.80x = 918,332,963,999.70 × 612,221,975,999.80
  4. Step 4: Simplify right side
    612,221,975,999.80x = 562,223,621,845,649,517,969,408
  5. Step 5: Solve for x
    x = 562,223,621,845,649,517,969,408/612,221,975,999.80
  6. Step 6: Final answer
    x = 918,332,963,999.70

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.