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Finding the Fourth Proportional to 105,192,000.35, 157,788,000.53 and 105,192,000.35

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Solution

The fourth proportional to 105,192,000.35, 157,788,000.53 and 105,192,000.35 is: 157,788,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,192,000.35 : 157,788,000.53 = 105,192,000.35 : x
  2. Step 2: Convert to fraction form
    105,192,000.35/157,788,000.53 = 105,192,000.35/x
  3. Step 3: Cross multiply
    105,192,000.35x = 157,788,000.53 × 105,192,000.35
  4. Step 4: Simplify right side
    105,192,000.35x = 16,598,035,406,451,600
  5. Step 5: Solve for x
    x = 16,598,035,406,451,600/105,192,000.35
  6. Step 6: Final answer
    x = 157,788,000.53

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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.