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Finding the Fourth Proportional to 6,824,762,077.80, 10,237,143,116.70 and 6,824,762,077.80

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Solution

The fourth proportional to 6,824,762,077.80, 10,237,143,116.70 and 6,824,762,077.80 is: 10,237,143,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,762,077.80 : 10,237,143,116.70 = 6,824,762,077.80 : x
  2. Step 2: Convert to fraction form
    6,824,762,077.80/10,237,143,116.70 = 6,824,762,077.80/x
  3. Step 3: Cross multiply
    6,824,762,077.80x = 10,237,143,116.70 × 6,824,762,077.80
  4. Step 4: Simplify right side
    6,824,762,077.80x = 69,866,066,127,865,470,976
  5. Step 5: Solve for x
    x = 69,866,066,127,865,470,976/6,824,762,077.80
  6. Step 6: Final answer
    x = 10,237,143,116.70

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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.