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Finding the Fourth Proportional to 1,073,504,802.10, 1,607,989,721.55 and 1,073,504,802.10

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Solution

The fourth proportional to 1,073,504,802.10, 1,607,989,721.55 and 1,073,504,802.10 is: 1,607,989,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,504,802.10 : 1,607,989,721.55 = 1,073,504,802.10 : x
  2. Step 2: Convert to fraction form
    1,073,504,802.10/1,607,989,721.55 = 1,073,504,802.10/x
  3. Step 3: Cross multiply
    1,073,504,802.10x = 1,607,989,721.55 × 1,073,504,802.10
  4. Step 4: Simplify right side
    1,073,504,802.10x = 1,726,184,687,811,366,912
  5. Step 5: Solve for x
    x = 1,726,184,687,811,366,912/1,073,504,802.10
  6. Step 6: Final answer
    x = 1,607,989,721.55

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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.