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Finding the Fourth Proportional to 83,484,031.80, 116,638,765.80 and 83,484,031.80

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Solution

The fourth proportional to 83,484,031.80, 116,638,765.80 and 83,484,031.80 is: 116,638,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,484,031.80 : 116,638,765.80 = 83,484,031.80 : x
  2. Step 2: Convert to fraction form
    83,484,031.80/116,638,765.80 = 83,484,031.80/x
  3. Step 3: Cross multiply
    83,484,031.80x = 116,638,765.80 × 83,484,031.80
  4. Step 4: Simplify right side
    83,484,031.80x = 9,737,474,433,159,952
  5. Step 5: Solve for x
    x = 9,737,474,433,159,952/83,484,031.80
  6. Step 6: Final answer
    x = 116,638,765.80

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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.