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Finding the Fourth Proportional to 77,713,088.30, 108,957,576.10 and 77,713,088.30

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Solution

The fourth proportional to 77,713,088.30, 108,957,576.10 and 77,713,088.30 is: 108,957,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713,088.30 : 108,957,576.10 = 77,713,088.30 : x
  2. Step 2: Convert to fraction form
    77,713,088.30/108,957,576.10 = 77,713,088.30/x
  3. Step 3: Cross multiply
    77,713,088.30x = 108,957,576.10 × 77,713,088.30
  4. Step 4: Simplify right side
    77,713,088.30x = 8,467,429,732,413,269
  5. Step 5: Solve for x
    x = 8,467,429,732,413,269/77,713,088.30
  6. Step 6: Final answer
    x = 108,957,576.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.