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Finding the Fourth Proportional to 972,126,813, 1,341,547,599.06 and 532,084,217.16

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Solution

The fourth proportional to 972,126,813, 1,341,547,599.06 and 532,084,217.16 is: 734,283,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,126,813 : 1,341,547,599.06 = 532,084,217.16 : x
  2. Step 2: Convert to fraction form
    972,126,813/1,341,547,599.06 = 532,084,217.16/x
  3. Step 3: Cross multiply
    972,126,813x = 1,341,547,599.06 × 532,084,217.16
  4. Step 4: Simplify right side
    972,126,813x = 713,816,304,028,717,696
  5. Step 5: Solve for x
    x = 713,816,304,028,717,696/972,126,813
  6. Step 6: Final answer
    x = 734,283,114.59

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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.