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Finding the Fourth Proportional to 289,656,267.80, 434,484,401.70 and 71,304,875.60

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Solution

The fourth proportional to 289,656,267.80, 434,484,401.70 and 71,304,875.60 is: 106,957,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656,267.80 : 434,484,401.70 = 71,304,875.60 : x
  2. Step 2: Convert to fraction form
    289,656,267.80/434,484,401.70 = 71,304,875.60/x
  3. Step 3: Cross multiply
    289,656,267.80x = 434,484,401.70 × 71,304,875.60
  4. Step 4: Simplify right side
    289,656,267.80x = 30,980,856,213,358,924
  5. Step 5: Solve for x
    x = 30,980,856,213,358,924/289,656,267.80
  6. Step 6: Final answer
    x = 106,957,313.40

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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.