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Finding the Fourth Proportional to 898,151,712.90, 1,347,227,569.35 and 898,151,712.90

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Solution

The fourth proportional to 898,151,712.90, 1,347,227,569.35 and 898,151,712.90 is: 1,347,227,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,151,712.90 : 1,347,227,569.35 = 898,151,712.90 : x
  2. Step 2: Convert to fraction form
    898,151,712.90/1,347,227,569.35 = 898,151,712.90/x
  3. Step 3: Cross multiply
    898,151,712.90x = 1,347,227,569.35 × 898,151,712.90
  4. Step 4: Simplify right side
    898,151,712.90x = 1,210,014,749,077,805,824
  5. Step 5: Solve for x
    x = 1,210,014,749,077,805,824/898,151,712.90
  6. Step 6: Final answer
    x = 1,347,227,569.35

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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.