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Finding the Fourth Proportional to 356,412,968, 534,619,874.80 and 97,630,419.36

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Solution

The fourth proportional to 356,412,968, 534,619,874.80 and 97,630,419.36 is: 146,445,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,412,968 : 534,619,874.80 = 97,630,419.36 : x
  2. Step 2: Convert to fraction form
    356,412,968/534,619,874.80 = 97,630,419.36/x
  3. Step 3: Cross multiply
    356,412,968x = 534,619,874.80 × 97,630,419.36
  4. Step 4: Simplify right side
    356,412,968x = 52,195,162,574,914,696
  5. Step 5: Solve for x
    x = 52,195,162,574,914,696/356,412,968
  6. Step 6: Final answer
    x = 146,445,744.86

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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.