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Finding the Fourth Proportional to 869,866,781.32, 1,200,145,782.90 and 493,461,379.72

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Solution

The fourth proportional to 869,866,781.32, 1,200,145,782.90 and 493,461,379.72 is: 680,823,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,866,781.32 : 1,200,145,782.90 = 493,461,379.72 : x
  2. Step 2: Convert to fraction form
    869,866,781.32/1,200,145,782.90 = 493,461,379.72/x
  3. Step 3: Cross multiply
    869,866,781.32x = 1,200,145,782.90 × 493,461,379.72
  4. Step 4: Simplify right side
    869,866,781.32x = 592,225,593,894,973,696
  5. Step 5: Solve for x
    x = 592,225,593,894,973,696/869,866,781.32
  6. Step 6: Final answer
    x = 680,823,324.46

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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.