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Finding the Fourth Proportional to 32,472,577,999.90, 48,708,866,999.85 and 32,472,577,999.90

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Solution

The fourth proportional to 32,472,577,999.90, 48,708,866,999.85 and 32,472,577,999.90 is: 48,708,866,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472,577,999.90 : 48,708,866,999.85 = 32,472,577,999.90 : x
  2. Step 2: Convert to fraction form
    32,472,577,999.90/48,708,866,999.85 = 32,472,577,999.90/x
  3. Step 3: Cross multiply
    32,472,577,999.90x = 48,708,866,999.85 × 32,472,577,999.90
  4. Step 4: Simplify right side
    32,472,577,999.90x = 1,581,702,482,939,384,168,448
  5. Step 5: Solve for x
    x = 1,581,702,482,939,384,168,448/32,472,577,999.90
  6. Step 6: Final answer
    x = 48,708,866,999.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.