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Finding the Fourth Proportional to 564,842,006.20, 847,263,009.30 and 201,205,142.20

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Solution

The fourth proportional to 564,842,006.20, 847,263,009.30 and 201,205,142.20 is: 301,807,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,842,006.20 : 847,263,009.30 = 201,205,142.20 : x
  2. Step 2: Convert to fraction form
    564,842,006.20/847,263,009.30 = 201,205,142.20/x
  3. Step 3: Cross multiply
    564,842,006.20x = 847,263,009.30 × 201,205,142.20
  4. Step 4: Simplify right side
    564,842,006.20x = 170,473,674,267,006,400
  5. Step 5: Solve for x
    x = 170,473,674,267,006,400/564,842,006.20
  6. Step 6: Final answer
    x = 301,807,713.30

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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.