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Finding the Fourth Proportional to 40,285,787,541.40, 60,428,681,312.10 and 40,285,787,541.40

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Solution

The fourth proportional to 40,285,787,541.40, 60,428,681,312.10 and 40,285,787,541.40 is: 60,428,681,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,285,787,541.40 : 60,428,681,312.10 = 40,285,787,541.40 : x
  2. Step 2: Convert to fraction form
    40,285,787,541.40/60,428,681,312.10 = 40,285,787,541.40/x
  3. Step 3: Cross multiply
    40,285,787,541.40x = 60,428,681,312.10 × 40,285,787,541.40
  4. Step 4: Simplify right side
    40,285,787,541.40x = 2,434,417,016,746,229,104,640
  5. Step 5: Solve for x
    x = 2,434,417,016,746,229,104,640/40,285,787,541.40
  6. Step 6: Final answer
    x = 60,428,681,312.10

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Why These Related Problems?

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