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Finding the Fourth Proportional to 78,290,003.40, 117,435,005.10 and 78,290,003.40

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Solution

The fourth proportional to 78,290,003.40, 117,435,005.10 and 78,290,003.40 is: 117,435,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,290,003.40 : 117,435,005.10 = 78,290,003.40 : x
  2. Step 2: Convert to fraction form
    78,290,003.40/117,435,005.10 = 78,290,003.40/x
  3. Step 3: Cross multiply
    78,290,003.40x = 117,435,005.10 × 78,290,003.40
  4. Step 4: Simplify right side
    78,290,003.40x = 9,193,986,948,558,018
  5. Step 5: Solve for x
    x = 9,193,986,948,558,018/78,290,003.40
  6. Step 6: Final answer
    x = 117,435,005.10

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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.