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Finding the Fourth Proportional to 897,776,155.36, 1,345,473,726 and 461,059,199.20

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Solution

The fourth proportional to 897,776,155.36, 1,345,473,726 and 461,059,199.20 is: 690,977,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,776,155.36 : 1,345,473,726 = 461,059,199.20 : x
  2. Step 2: Convert to fraction form
    897,776,155.36/1,345,473,726 = 461,059,199.20/x
  3. Step 3: Cross multiply
    897,776,155.36x = 1,345,473,726 × 461,059,199.20
  4. Step 4: Simplify right side
    897,776,155.36x = 620,343,038,654,200,192
  5. Step 5: Solve for x
    x = 620,343,038,654,200,192/897,776,155.36
  6. Step 6: Final answer
    x = 690,977,405.62

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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.