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Finding the Fourth Proportional to 281,232,123.60, 392,817,980.40 and 281,232,123.60

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Solution

The fourth proportional to 281,232,123.60, 392,817,980.40 and 281,232,123.60 is: 392,817,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,232,123.60 : 392,817,980.40 = 281,232,123.60 : x
  2. Step 2: Convert to fraction form
    281,232,123.60/392,817,980.40 = 281,232,123.60/x
  3. Step 3: Cross multiply
    281,232,123.60x = 392,817,980.40 × 281,232,123.60
  4. Step 4: Simplify right side
    281,232,123.60x = 110,473,034,816,155,184
  5. Step 5: Solve for x
    x = 110,473,034,816,155,184/281,232,123.60
  6. Step 6: Final answer
    x = 392,817,980.40

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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.