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Finding the Fourth Proportional to 416,037,077.60, 623,607,718.80 and 157,152,264.80

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Solution

The fourth proportional to 416,037,077.60, 623,607,718.80 and 157,152,264.80 is: 235,559,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,037,077.60 : 623,607,718.80 = 157,152,264.80 : x
  2. Step 2: Convert to fraction form
    416,037,077.60/623,607,718.80 = 157,152,264.80/x
  3. Step 3: Cross multiply
    416,037,077.60x = 623,607,718.80 × 157,152,264.80
  4. Step 4: Simplify right side
    416,037,077.60x = 98,001,365,356,181,536
  5. Step 5: Solve for x
    x = 98,001,365,356,181,536/416,037,077.60
  6. Step 6: Final answer
    x = 235,559,210.06

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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.