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Finding the Fourth Proportional to 517,391,569.80, 776,087,354.70 and 469,774,456.20

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Solution

The fourth proportional to 517,391,569.80, 776,087,354.70 and 469,774,456.20 is: 704,661,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,391,569.80 : 776,087,354.70 = 469,774,456.20 : x
  2. Step 2: Convert to fraction form
    517,391,569.80/776,087,354.70 = 469,774,456.20/x
  3. Step 3: Cross multiply
    517,391,569.80x = 776,087,354.70 × 469,774,456.20
  4. Step 4: Simplify right side
    517,391,569.80x = 364,586,015,017,889,024
  5. Step 5: Solve for x
    x = 364,586,015,017,889,024/517,391,569.80
  6. Step 6: Final answer
    x = 704,661,684.30

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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.