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Finding the Fourth Proportional to 1,298,642,559.95, 1,792,149,695.66 and 703,946,793.71

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Solution

The fourth proportional to 1,298,642,559.95, 1,792,149,695.66 and 703,946,793.71 is: 971,459,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,642,559.95 : 1,792,149,695.66 = 703,946,793.71 : x
  2. Step 2: Convert to fraction form
    1,298,642,559.95/1,792,149,695.66 = 703,946,793.71/x
  3. Step 3: Cross multiply
    1,298,642,559.95x = 1,792,149,695.66 × 703,946,793.71
  4. Step 4: Simplify right side
    1,298,642,559.95x = 1,261,578,032,114,449,408
  5. Step 5: Solve for x
    x = 1,261,578,032,114,449,408/1,298,642,559.95
  6. Step 6: Final answer
    x = 971,459,022.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.