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Finding the Fourth Proportional to 564,201,163.68, 845,915,388.48 and 287,316,407.76

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Solution

The fourth proportional to 564,201,163.68, 845,915,388.48 and 287,316,407.76 is: 430,777,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,201,163.68 : 845,915,388.48 = 287,316,407.76 : x
  2. Step 2: Convert to fraction form
    564,201,163.68/845,915,388.48 = 287,316,407.76/x
  3. Step 3: Cross multiply
    564,201,163.68x = 845,915,388.48 × 287,316,407.76
  4. Step 4: Simplify right side
    564,201,163.68x = 243,045,370,686,978,496
  5. Step 5: Solve for x
    x = 243,045,370,686,978,496/564,201,163.68
  6. Step 6: Final answer
    x = 430,777,861.40

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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.