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Finding the Fourth Proportional to 602,145,876.36, 829,413,059.16 and 425,630,405.40

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Solution

The fourth proportional to 602,145,876.36, 829,413,059.16 and 425,630,405.40 is: 586,275,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,145,876.36 : 829,413,059.16 = 425,630,405.40 : x
  2. Step 2: Convert to fraction form
    602,145,876.36/829,413,059.16 = 425,630,405.40/x
  3. Step 3: Cross multiply
    602,145,876.36x = 829,413,059.16 × 425,630,405.40
  4. Step 4: Simplify right side
    602,145,876.36x = 353,023,416,614,324,928
  5. Step 5: Solve for x
    x = 353,023,416,614,324,928/602,145,876.36
  6. Step 6: Final answer
    x = 586,275,569.55

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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.