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Finding the Fourth Proportional to 897,776,159.36, 1,345,473,732 and 461,059,203.20

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Solution

The fourth proportional to 897,776,159.36, 1,345,473,732 and 461,059,203.20 is: 690,977,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,776,159.36 : 1,345,473,732 = 461,059,203.20 : x
  2. Step 2: Convert to fraction form
    897,776,159.36/1,345,473,732 = 461,059,203.20/x
  3. Step 3: Cross multiply
    897,776,159.36x = 1,345,473,732 × 461,059,203.20
  4. Step 4: Simplify right side
    897,776,159.36x = 620,343,046,802,450,304
  5. Step 5: Solve for x
    x = 620,343,046,802,450,304/897,776,159.36
  6. Step 6: Final answer
    x = 690,977,411.61

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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.