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Finding the Fourth Proportional to 898,138,851.90, 1,347,208,277.85 and 898,138,851.90

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Solution

The fourth proportional to 898,138,851.90, 1,347,208,277.85 and 898,138,851.90 is: 1,347,208,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,138,851.90 : 1,347,208,277.85 = 898,138,851.90 : x
  2. Step 2: Convert to fraction form
    898,138,851.90/1,347,208,277.85 = 898,138,851.90/x
  3. Step 3: Cross multiply
    898,138,851.90x = 1,347,208,277.85 × 898,138,851.90
  4. Step 4: Simplify right side
    898,138,851.90x = 1,209,980,095,938,375,168
  5. Step 5: Solve for x
    x = 1,209,980,095,938,375,168/898,138,851.90
  6. Step 6: Final answer
    x = 1,347,208,277.85

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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.