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Finding the Fourth Proportional to 229,583,241,011.80, 344,374,861,517.70 and 229,583,241,011.80

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Solution

The fourth proportional to 229,583,241,011.80, 344,374,861,517.70 and 229,583,241,011.80 is: 344,374,861,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,583,241,011.80 : 344,374,861,517.70 = 229,583,241,011.80 : x
  2. Step 2: Convert to fraction form
    229,583,241,011.80/344,374,861,517.70 = 229,583,241,011.80/x
  3. Step 3: Cross multiply
    229,583,241,011.80x = 344,374,861,517.70 × 229,583,241,011.80
  4. Step 4: Simplify right side
    229,583,241,011.80x = 79,062,696,830,223,364,653,056
  5. Step 5: Solve for x
    x = 79,062,696,830,223,364,653,056/229,583,241,011.80
  6. Step 6: Final answer
    x = 344,374,861,517.70

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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.