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Finding the Fourth Proportional to 898,138,214.90, 1,347,207,322.35 and 898,138,214.90

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Solution

The fourth proportional to 898,138,214.90, 1,347,207,322.35 and 898,138,214.90 is: 1,347,207,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,138,214.90 : 1,347,207,322.35 = 898,138,214.90 : x
  2. Step 2: Convert to fraction form
    898,138,214.90/1,347,207,322.35 = 898,138,214.90/x
  3. Step 3: Cross multiply
    898,138,214.90x = 1,347,207,322.35 × 898,138,214.90
  4. Step 4: Simplify right side
    898,138,214.90x = 1,209,978,379,595,637,760
  5. Step 5: Solve for x
    x = 1,209,978,379,595,637,760/898,138,214.90
  6. Step 6: Final answer
    x = 1,347,207,322.35

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1.5x scale

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.