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Finding the Fourth Proportional to 442,509,881.40, 662,489,363.70 and 442,509,881.40

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Solution

The fourth proportional to 442,509,881.40, 662,489,363.70 and 442,509,881.40 is: 662,489,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,509,881.40 : 662,489,363.70 = 442,509,881.40 : x
  2. Step 2: Convert to fraction form
    442,509,881.40/662,489,363.70 = 442,509,881.40/x
  3. Step 3: Cross multiply
    442,509,881.40x = 662,489,363.70 × 442,509,881.40
  4. Step 4: Simplify right side
    442,509,881.40x = 293,158,089,759,648,448
  5. Step 5: Solve for x
    x = 293,158,089,759,648,448/442,509,881.40
  6. Step 6: Final answer
    x = 662,489,363.70

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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.