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Finding the Fourth Proportional to 556,275,751.40, 834,413,627.10 and 405,280,807.40

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Solution

The fourth proportional to 556,275,751.40, 834,413,627.10 and 405,280,807.40 is: 607,921,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,275,751.40 : 834,413,627.10 = 405,280,807.40 : x
  2. Step 2: Convert to fraction form
    556,275,751.40/834,413,627.10 = 405,280,807.40/x
  3. Step 3: Cross multiply
    556,275,751.40x = 834,413,627.10 × 405,280,807.40
  4. Step 4: Simplify right side
    556,275,751.40x = 338,171,828,496,650,496
  5. Step 5: Solve for x
    x = 338,171,828,496,650,496/556,275,751.40
  6. Step 6: Final answer
    x = 607,921,211.10

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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.