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Finding the Fourth Proportional to 642,744,421.92, 886,997,020.86 and 360,549,417.24

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Solution

The fourth proportional to 642,744,421.92, 886,997,020.86 and 360,549,417.24 is: 497,563,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,744,421.92 : 886,997,020.86 = 360,549,417.24 : x
  2. Step 2: Convert to fraction form
    642,744,421.92/886,997,020.86 = 360,549,417.24/x
  3. Step 3: Cross multiply
    642,744,421.92x = 886,997,020.86 × 360,549,417.24
  4. Step 4: Simplify right side
    642,744,421.92x = 319,806,258,964,689,152
  5. Step 5: Solve for x
    x = 319,806,258,964,689,152/642,744,421.92
  6. Step 6: Final answer
    x = 497,563,647.47

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