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Finding the Fourth Proportional to 661,571,737.80, 992,357,606.70 and 274,151,248.80

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Solution

The fourth proportional to 661,571,737.80, 992,357,606.70 and 274,151,248.80 is: 411,226,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,571,737.80 : 992,357,606.70 = 274,151,248.80 : x
  2. Step 2: Convert to fraction form
    661,571,737.80/992,357,606.70 = 274,151,248.80/x
  3. Step 3: Cross multiply
    661,571,737.80x = 992,357,606.70 × 274,151,248.80
  4. Step 4: Simplify right side
    661,571,737.80x = 272,056,077,132,984,256
  5. Step 5: Solve for x
    x = 272,056,077,132,984,256/661,571,737.80
  6. Step 6: Final answer
    x = 411,226,873.20

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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.