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Finding the Fourth Proportional to 678,455,428.60, 1,017,683,142.90 and 678,455,428.60

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Solution

The fourth proportional to 678,455,428.60, 1,017,683,142.90 and 678,455,428.60 is: 1,017,683,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,455,428.60 : 1,017,683,142.90 = 678,455,428.60 : x
  2. Step 2: Convert to fraction form
    678,455,428.60/1,017,683,142.90 = 678,455,428.60/x
  3. Step 3: Cross multiply
    678,455,428.60x = 1,017,683,142.90 × 678,455,428.60
  4. Step 4: Simplify right side
    678,455,428.60x = 690,452,652,895,214,592
  5. Step 5: Solve for x
    x = 690,452,652,895,214,592/678,455,428.60
  6. Step 6: Final answer
    x = 1,017,683,142.90

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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.