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Finding the Fourth Proportional to 648,997,031.43, 974,468,082.96 and 561,827,421

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Solution

The fourth proportional to 648,997,031.43, 974,468,082.96 and 561,827,421 is: 843,583,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,997,031.43 : 974,468,082.96 = 561,827,421 : x
  2. Step 2: Convert to fraction form
    648,997,031.43/974,468,082.96 = 561,827,421/x
  3. Step 3: Cross multiply
    648,997,031.43x = 974,468,082.96 × 561,827,421
  4. Step 4: Simplify right side
    648,997,031.43x = 547,482,889,896,230,848
  5. Step 5: Solve for x
    x = 547,482,889,896,230,848/648,997,031.43
  6. Step 6: Final answer
    x = 843,583,041.81

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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.