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Finding the Fourth Proportional to 586,732,702.77, 809,697,574.31 and 322,414,764.14

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Solution

The fourth proportional to 586,732,702.77, 809,697,574.31 and 322,414,764.14 is: 444,935,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,732,702.77 : 809,697,574.31 = 322,414,764.14 : x
  2. Step 2: Convert to fraction form
    586,732,702.77/809,697,574.31 = 322,414,764.14/x
  3. Step 3: Cross multiply
    586,732,702.77x = 809,697,574.31 × 322,414,764.14
  4. Step 4: Simplify right side
    586,732,702.77x = 261,058,452,445,888,736
  5. Step 5: Solve for x
    x = 261,058,452,445,888,736/586,732,702.77
  6. Step 6: Final answer
    x = 444,935,915.82

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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.