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Finding the Fourth Proportional to 289,642,764.60, 434,128,223.70 and 117,006,233.40

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Solution

The fourth proportional to 289,642,764.60, 434,128,223.70 and 117,006,233.40 is: 175,373,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,642,764.60 : 434,128,223.70 = 117,006,233.40 : x
  2. Step 2: Convert to fraction form
    289,642,764.60/434,128,223.70 = 117,006,233.40/x
  3. Step 3: Cross multiply
    289,642,764.60x = 434,128,223.70 × 117,006,233.40
  4. Step 4: Simplify right side
    289,642,764.60x = 50,795,708,267,769,616
  5. Step 5: Solve for x
    x = 50,795,708,267,769,616/289,642,764.60
  6. Step 6: Final answer
    x = 175,373,648.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.