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Finding the Fourth Proportional to 459,901,456.40, 689,852,184.60 and 459,901,456.40

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Solution

The fourth proportional to 459,901,456.40, 689,852,184.60 and 459,901,456.40 is: 689,852,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,901,456.40 : 689,852,184.60 = 459,901,456.40 : x
  2. Step 2: Convert to fraction form
    459,901,456.40/689,852,184.60 = 459,901,456.40/x
  3. Step 3: Cross multiply
    459,901,456.40x = 689,852,184.60 × 459,901,456.40
  4. Step 4: Simplify right side
    459,901,456.40x = 317,264,024,398,261,632
  5. Step 5: Solve for x
    x = 317,264,024,398,261,632/459,901,456.40
  6. Step 6: Final answer
    x = 689,852,184.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.