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Finding the Fourth Proportional to 40,428,946,874.70, 60,643,420,312.05 and 40,428,946,874.70

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Solution

The fourth proportional to 40,428,946,874.70, 60,643,420,312.05 and 40,428,946,874.70 is: 60,643,420,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428,946,874.70 : 60,643,420,312.05 = 40,428,946,874.70 : x
  2. Step 2: Convert to fraction form
    40,428,946,874.70/60,643,420,312.05 = 40,428,946,874.70/x
  3. Step 3: Cross multiply
    40,428,946,874.70x = 60,643,420,312.05 × 40,428,946,874.70
  4. Step 4: Simplify right side
    40,428,946,874.70x = 2,451,749,618,095,972,417,536
  5. Step 5: Solve for x
    x = 2,451,749,618,095,972,417,536/40,428,946,874.70
  6. Step 6: Final answer
    x = 60,643,420,312.05

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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.