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Finding the Fourth Proportional to 103,230,252,323.80, 154,845,378,485.70 and 103,230,252,323.80

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Solution

The fourth proportional to 103,230,252,323.80, 154,845,378,485.70 and 103,230,252,323.80 is: 154,845,378,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,230,252,323.80 : 154,845,378,485.70 = 103,230,252,323.80 : x
  2. Step 2: Convert to fraction form
    103,230,252,323.80/154,845,378,485.70 = 103,230,252,323.80/x
  3. Step 3: Cross multiply
    103,230,252,323.80x = 154,845,378,485.70 × 103,230,252,323.80
  4. Step 4: Simplify right side
    103,230,252,323.80x = 15,984,727,492,253,125,181,440
  5. Step 5: Solve for x
    x = 15,984,727,492,253,125,181,440/103,230,252,323.80
  6. Step 6: Final answer
    x = 154,845,378,485.70

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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.