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Finding the Fourth Proportional to 290,509,909.80, 435,764,864.70 and 290,509,909.80

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Solution

The fourth proportional to 290,509,909.80, 435,764,864.70 and 290,509,909.80 is: 435,764,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,509,909.80 : 435,764,864.70 = 290,509,909.80 : x
  2. Step 2: Convert to fraction form
    290,509,909.80/435,764,864.70 = 290,509,909.80/x
  3. Step 3: Cross multiply
    290,509,909.80x = 435,764,864.70 × 290,509,909.80
  4. Step 4: Simplify right side
    290,509,909.80x = 126,594,011,538,006,208
  5. Step 5: Solve for x
    x = 126,594,011,538,006,208/290,509,909.80
  6. Step 6: Final answer
    x = 435,764,864.70

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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.