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Finding the Fourth Proportional to 590,978,412.45, 886,467,618.68 and 160,156,908.45

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Solution

The fourth proportional to 590,978,412.45, 886,467,618.68 and 160,156,908.45 is: 240,235,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,978,412.45 : 886,467,618.68 = 160,156,908.45 : x
  2. Step 2: Convert to fraction form
    590,978,412.45/886,467,618.68 = 160,156,908.45/x
  3. Step 3: Cross multiply
    590,978,412.45x = 886,467,618.68 × 160,156,908.45
  4. Step 4: Simplify right side
    590,978,412.45x = 141,973,913,248,021,472
  5. Step 5: Solve for x
    x = 141,973,913,248,021,472/590,978,412.45
  6. Step 6: Final answer
    x = 240,235,362.68

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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.