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Finding the Fourth Proportional to 898,138,870.40, 1,347,208,305.60 and 898,138,870.40

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Solution

The fourth proportional to 898,138,870.40, 1,347,208,305.60 and 898,138,870.40 is: 1,347,208,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,138,870.40 : 1,347,208,305.60 = 898,138,870.40 : x
  2. Step 2: Convert to fraction form
    898,138,870.40/1,347,208,305.60 = 898,138,870.40/x
  3. Step 3: Cross multiply
    898,138,870.40x = 1,347,208,305.60 × 898,138,870.40
  4. Step 4: Simplify right side
    898,138,870.40x = 1,209,980,145,785,081,856
  5. Step 5: Solve for x
    x = 1,209,980,145,785,081,856/898,138,870.40
  6. Step 6: Final answer
    x = 1,347,208,305.60

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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.