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Finding the Fourth Proportional to 32,472,578,312.90, 48,708,867,469.35 and 32,472,578,312.90

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Solution

The fourth proportional to 32,472,578,312.90, 48,708,867,469.35 and 32,472,578,312.90 is: 48,708,867,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472,578,312.90 : 48,708,867,469.35 = 32,472,578,312.90 : x
  2. Step 2: Convert to fraction form
    32,472,578,312.90/48,708,867,469.35 = 32,472,578,312.90/x
  3. Step 3: Cross multiply
    32,472,578,312.90x = 48,708,867,469.35 × 32,472,578,312.90
  4. Step 4: Simplify right side
    32,472,578,312.90x = 1,581,702,513,431,135,125,504
  5. Step 5: Solve for x
    x = 1,581,702,513,431,135,125,504/32,472,578,312.90
  6. Step 6: Final answer
    x = 48,708,867,469.35

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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.