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Finding the Fourth Proportional to 1,500,287,972.16, 2,070,397,401.60 and 840,238,250.16

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Solution

The fourth proportional to 1,500,287,972.16, 2,070,397,401.60 and 840,238,250.16 is: 1,159,528,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,287,972.16 : 2,070,397,401.60 = 840,238,250.16 : x
  2. Step 2: Convert to fraction form
    1,500,287,972.16/2,070,397,401.60 = 840,238,250.16/x
  3. Step 3: Cross multiply
    1,500,287,972.16x = 2,070,397,401.60 × 840,238,250.16
  4. Step 4: Simplify right side
    1,500,287,972.16x = 1,739,627,089,856,194,560
  5. Step 5: Solve for x
    x = 1,739,627,089,856,194,560/1,500,287,972.16
  6. Step 6: Final answer
    x = 1,159,528,785.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.