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Finding the Fourth Proportional to 1,247,140,232.40, 1,748,862,870 and 1,247,140,232.40

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Solution

The fourth proportional to 1,247,140,232.40, 1,748,862,870 and 1,247,140,232.40 is: 1,748,862,870

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,140,232.40 : 1,748,862,870 = 1,247,140,232.40 : x
  2. Step 2: Convert to fraction form
    1,247,140,232.40/1,748,862,870 = 1,247,140,232.40/x
  3. Step 3: Cross multiply
    1,247,140,232.40x = 1,748,862,870 × 1,247,140,232.40
  4. Step 4: Simplify right side
    1,247,140,232.40x = 2,181,077,246,127,531,264
  5. Step 5: Solve for x
    x = 2,181,077,246,127,531,264/1,247,140,232.40
  6. Step 6: Final answer
    x = 1,748,862,870

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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.