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Finding the Fourth Proportional to 289,893,846.40, 434,840,769.60 and 98,417,622.40

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Solution

The fourth proportional to 289,893,846.40, 434,840,769.60 and 98,417,622.40 is: 147,626,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,893,846.40 : 434,840,769.60 = 98,417,622.40 : x
  2. Step 2: Convert to fraction form
    289,893,846.40/434,840,769.60 = 98,417,622.40/x
  3. Step 3: Cross multiply
    289,893,846.40x = 434,840,769.60 × 98,417,622.40
  4. Step 4: Simplify right side
    289,893,846.40x = 42,795,994,666,618,200
  5. Step 5: Solve for x
    x = 42,795,994,666,618,200/289,893,846.40
  6. Step 6: Final answer
    x = 147,626,433.60

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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.