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Finding the Fourth Proportional to 7,677,488,115.40, 10,762,995,243.80 and 7,677,488,115.40

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Solution

The fourth proportional to 7,677,488,115.40, 10,762,995,243.80 and 7,677,488,115.40 is: 10,762,995,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,488,115.40 : 10,762,995,243.80 = 7,677,488,115.40 : x
  2. Step 2: Convert to fraction form
    7,677,488,115.40/10,762,995,243.80 = 7,677,488,115.40/x
  3. Step 3: Cross multiply
    7,677,488,115.40x = 10,762,995,243.80 × 7,677,488,115.40
  4. Step 4: Simplify right side
    7,677,488,115.40x = 82,632,768,070,381,207,552
  5. Step 5: Solve for x
    x = 82,632,768,070,381,207,552/7,677,488,115.40
  6. Step 6: Final answer
    x = 10,762,995,243.80

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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.