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Finding the Fourth Proportional to 918,153,966.30, 1,377,230,949.45 and 918,153,966.30

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Solution

The fourth proportional to 918,153,966.30, 1,377,230,949.45 and 918,153,966.30 is: 1,377,230,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,153,966.30 : 1,377,230,949.45 = 918,153,966.30 : x
  2. Step 2: Convert to fraction form
    918,153,966.30/1,377,230,949.45 = 918,153,966.30/x
  3. Step 3: Cross multiply
    918,153,966.30x = 1,377,230,949.45 × 918,153,966.30
  4. Step 4: Simplify right side
    918,153,966.30x = 1,264,510,058,748,632,320
  5. Step 5: Solve for x
    x = 1,264,510,058,748,632,320/918,153,966.30
  6. Step 6: Final answer
    x = 1,377,230,949.45

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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.