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Finding the Fourth Proportional to 971,618,002.20, 1,457,427,003.30 and 877,895,429.40

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Solution

The fourth proportional to 971,618,002.20, 1,457,427,003.30 and 877,895,429.40 is: 1,316,843,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,618,002.20 : 1,457,427,003.30 = 877,895,429.40 : x
  2. Step 2: Convert to fraction form
    971,618,002.20/1,457,427,003.30 = 877,895,429.40/x
  3. Step 3: Cross multiply
    971,618,002.20x = 1,457,427,003.30 × 877,895,429.40
  4. Step 4: Simplify right side
    971,618,002.20x = 1,279,468,504,881,208,576
  5. Step 5: Solve for x
    x = 1,279,468,504,881,208,576/971,618,002.20
  6. Step 6: Final answer
    x = 1,316,843,144.10

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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.