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Finding the Fourth Proportional to 1,369,418,549.12, 1,889,797,597.76 and 782,720,282.24

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Solution

The fourth proportional to 1,369,418,549.12, 1,889,797,597.76 and 782,720,282.24 is: 1,080,153,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,418,549.12 : 1,889,797,597.76 = 782,720,282.24 : x
  2. Step 2: Convert to fraction form
    1,369,418,549.12/1,889,797,597.76 = 782,720,282.24/x
  3. Step 3: Cross multiply
    1,369,418,549.12x = 1,889,797,597.76 × 782,720,282.24
  4. Step 4: Simplify right side
    1,369,418,549.12x = 1,479,182,909,095,181,312
  5. Step 5: Solve for x
    x = 1,479,182,909,095,181,312/1,369,418,549.12
  6. Step 6: Final answer
    x = 1,080,153,989.48

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