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Finding the Fourth Proportional to 289,972,289.40, 434,958,434.10 and 98,496,065.40

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Solution

The fourth proportional to 289,972,289.40, 434,958,434.10 and 98,496,065.40 is: 147,744,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,972,289.40 : 434,958,434.10 = 98,496,065.40 : x
  2. Step 2: Convert to fraction form
    289,972,289.40/434,958,434.10 = 98,496,065.40/x
  3. Step 3: Cross multiply
    289,972,289.40x = 434,958,434.10 × 98,496,065.40
  4. Step 4: Simplify right side
    289,972,289.40x = 42,841,694,371,395,192
  5. Step 5: Solve for x
    x = 42,841,694,371,395,192/289,972,289.40
  6. Step 6: Final answer
    x = 147,744,098.10

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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.