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Finding the Fourth Proportional to 788,827,728.10, 1,180,974,110.55 and 482,717,712.10

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Solution

The fourth proportional to 788,827,728.10, 1,180,974,110.55 and 482,717,712.10 is: 722,688,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,827,728.10 : 1,180,974,110.55 = 482,717,712.10 : x
  2. Step 2: Convert to fraction form
    788,827,728.10/1,180,974,110.55 = 482,717,712.10/x
  3. Step 3: Cross multiply
    788,827,728.10x = 1,180,974,110.55 × 482,717,712.10
  4. Step 4: Simplify right side
    788,827,728.10x = 570,077,120,694,028,480
  5. Step 5: Solve for x
    x = 570,077,120,694,028,480/788,827,728.10
  6. Step 6: Final answer
    x = 722,688,998.35

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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.