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Finding the Fourth Proportional to 898,688,015.20, 1,259,861,914.40 and 898,688,015.20

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Solution

The fourth proportional to 898,688,015.20, 1,259,861,914.40 and 898,688,015.20 is: 1,259,861,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,688,015.20 : 1,259,861,914.40 = 898,688,015.20 : x
  2. Step 2: Convert to fraction form
    898,688,015.20/1,259,861,914.40 = 898,688,015.20/x
  3. Step 3: Cross multiply
    898,688,015.20x = 1,259,861,914.40 × 898,688,015.20
  4. Step 4: Simplify right side
    898,688,015.20x = 1,132,222,803,278,208,384
  5. Step 5: Solve for x
    x = 1,132,222,803,278,208,384/898,688,015.20
  6. Step 6: Final answer
    x = 1,259,861,914.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.