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Finding the Fourth Proportional to 407,275,715,281.60, 610,913,572,922.40 and 407,275,715,281.60

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Solution

The fourth proportional to 407,275,715,281.60, 610,913,572,922.40 and 407,275,715,281.60 is: 610,913,572,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,275,715,281.60 : 610,913,572,922.40 = 407,275,715,281.60 : x
  2. Step 2: Convert to fraction form
    407,275,715,281.60/610,913,572,922.40 = 407,275,715,281.60/x
  3. Step 3: Cross multiply
    407,275,715,281.60x = 610,913,572,922.40 × 407,275,715,281.60
  4. Step 4: Simplify right side
    407,275,715,281.60x = 248,810,262,387,208,371,568,640
  5. Step 5: Solve for x
    x = 248,810,262,387,208,371,568,640/407,275,715,281.60
  6. Step 6: Final answer
    x = 610,913,572,922.40

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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.