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Finding the Fourth Proportional to 416,036,817.60, 623,607,328.80 and 157,152,004.80

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Solution

The fourth proportional to 416,036,817.60, 623,607,328.80 and 157,152,004.80 is: 235,558,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,036,817.60 : 623,607,328.80 = 157,152,004.80 : x
  2. Step 2: Convert to fraction form
    416,036,817.60/623,607,328.80 = 157,152,004.80/x
  3. Step 3: Cross multiply
    416,036,817.60x = 623,607,328.80 × 157,152,004.80
  4. Step 4: Simplify right side
    416,036,817.60x = 98,001,141,928,892,784
  5. Step 5: Solve for x
    x = 98,001,141,928,892,784/416,036,817.60
  6. Step 6: Final answer
    x = 235,558,820.24

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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.