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Finding the Fourth Proportional to 113,304,096,005.40, 158,857,924,523.40 and 113,304,096,005.40

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Solution

The fourth proportional to 113,304,096,005.40, 158,857,924,523.40 and 113,304,096,005.40 is: 158,857,924,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,304,096,005.40 : 158,857,924,523.40 = 113,304,096,005.40 : x
  2. Step 2: Convert to fraction form
    113,304,096,005.40/158,857,924,523.40 = 113,304,096,005.40/x
  3. Step 3: Cross multiply
    113,304,096,005.40x = 158,857,924,523.40 × 113,304,096,005.40
  4. Step 4: Simplify right side
    113,304,096,005.40x = 17,999,253,531,417,898,909,696
  5. Step 5: Solve for x
    x = 17,999,253,531,417,898,909,696/113,304,096,005.40
  6. Step 6: Final answer
    x = 158,857,924,523.40

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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.