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Finding the Fourth Proportional to 1,096,877,619.84, 1,513,718,966.16 and 601,840,197.12

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Solution

The fourth proportional to 1,096,877,619.84, 1,513,718,966.16 and 601,840,197.12 is: 830,554,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,877,619.84 : 1,513,718,966.16 = 601,840,197.12 : x
  2. Step 2: Convert to fraction form
    1,096,877,619.84/1,513,718,966.16 = 601,840,197.12/x
  3. Step 3: Cross multiply
    1,096,877,619.84x = 1,513,718,966.16 × 601,840,197.12
  4. Step 4: Simplify right side
    1,096,877,619.84x = 911,016,920,978,017,024
  5. Step 5: Solve for x
    x = 911,016,920,978,017,024/1,096,877,619.84
  6. Step 6: Final answer
    x = 830,554,753.33

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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.