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Finding the Fourth Proportional to 426,816,069.60, 599,154,928.80 and 426,816,069.60

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Solution

The fourth proportional to 426,816,069.60, 599,154,928.80 and 426,816,069.60 is: 599,154,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,816,069.60 : 599,154,928.80 = 426,816,069.60 : x
  2. Step 2: Convert to fraction form
    426,816,069.60/599,154,928.80 = 426,816,069.60/x
  3. Step 3: Cross multiply
    426,816,069.60x = 599,154,928.80 × 426,816,069.60
  4. Step 4: Simplify right side
    426,816,069.60x = 255,728,951,791,883,840
  5. Step 5: Solve for x
    x = 255,728,951,791,883,840/426,816,069.60
  6. Step 6: Final answer
    x = 599,154,928.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.