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Finding the Fourth Proportional to 96,881,587,871.40, 145,322,381,807.10 and 96,881,587,871.40

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Solution

The fourth proportional to 96,881,587,871.40, 145,322,381,807.10 and 96,881,587,871.40 is: 145,322,381,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,881,587,871.40 : 145,322,381,807.10 = 96,881,587,871.40 : x
  2. Step 2: Convert to fraction form
    96,881,587,871.40/145,322,381,807.10 = 96,881,587,871.40/x
  3. Step 3: Cross multiply
    96,881,587,871.40x = 145,322,381,807.10 × 96,881,587,871.40
  4. Step 4: Simplify right side
    96,881,587,871.40x = 14,079,063,102,725,698,879,488
  5. Step 5: Solve for x
    x = 14,079,063,102,725,698,879,488/96,881,587,871.40
  6. Step 6: Final answer
    x = 145,322,381,807.10

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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.