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Finding the Fourth Proportional to 7,978,176,929.10, 11,187,814,301.70 and 7,978,176,929.10

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Solution

The fourth proportional to 7,978,176,929.10, 11,187,814,301.70 and 7,978,176,929.10 is: 11,187,814,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,176,929.10 : 11,187,814,301.70 = 7,978,176,929.10 : x
  2. Step 2: Convert to fraction form
    7,978,176,929.10/11,187,814,301.70 = 7,978,176,929.10/x
  3. Step 3: Cross multiply
    7,978,176,929.10x = 11,187,814,301.70 × 7,978,176,929.10
  4. Step 4: Simplify right side
    7,978,176,929.10x = 89,258,361,948,877,979,648
  5. Step 5: Solve for x
    x = 89,258,361,948,877,979,648/7,978,176,929.10
  6. Step 6: Final answer
    x = 11,187,814,301.70

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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.