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Finding the Fourth Proportional to 416,081,483.60, 623,674,327.80 and 157,196,670.80

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Solution

The fourth proportional to 416,081,483.60, 623,674,327.80 and 157,196,670.80 is: 235,625,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,081,483.60 : 623,674,327.80 = 157,196,670.80 : x
  2. Step 2: Convert to fraction form
    416,081,483.60/623,674,327.80 = 157,196,670.80/x
  3. Step 3: Cross multiply
    416,081,483.60x = 623,674,327.80 × 157,196,670.80
  4. Step 4: Simplify right side
    416,081,483.60x = 98,039,527,993,587,888
  5. Step 5: Solve for x
    x = 98,039,527,993,587,888/416,081,483.60
  6. Step 6: Final answer
    x = 235,625,789.32

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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.