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Finding the Fourth Proportional to 459,805,871.40, 689,708,807.10 and 459,805,871.40

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Solution

The fourth proportional to 459,805,871.40, 689,708,807.10 and 459,805,871.40 is: 689,708,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,805,871.40 : 689,708,807.10 = 459,805,871.40 : x
  2. Step 2: Convert to fraction form
    459,805,871.40/689,708,807.10 = 459,805,871.40/x
  3. Step 3: Cross multiply
    459,805,871.40x = 689,708,807.10 × 459,805,871.40
  4. Step 4: Simplify right side
    459,805,871.40x = 317,132,159,060,870,016
  5. Step 5: Solve for x
    x = 317,132,159,060,870,016/459,805,871.40
  6. Step 6: Final answer
    x = 689,708,807.10

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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.