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Finding the Fourth Proportional to 514,788,400.32, 710,402,945.46 and 279,825,081

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Solution

The fourth proportional to 514,788,400.32, 710,402,945.46 and 279,825,081 is: 386,155,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,788,400.32 : 710,402,945.46 = 279,825,081 : x
  2. Step 2: Convert to fraction form
    514,788,400.32/710,402,945.46 = 279,825,081/x
  3. Step 3: Cross multiply
    514,788,400.32x = 710,402,945.46 × 279,825,081
  4. Step 4: Simplify right side
    514,788,400.32x = 198,788,561,755,983,104
  5. Step 5: Solve for x
    x = 198,788,561,755,983,104/514,788,400.32
  6. Step 6: Final answer
    x = 386,155,868.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.