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Finding the Fourth Proportional to 1,114,478,978.04, 1,671,718,777.80 and 327,532,588.29

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Solution

The fourth proportional to 1,114,478,978.04, 1,671,718,777.80 and 327,532,588.29 is: 491,298,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,478,978.04 : 1,671,718,777.80 = 327,532,588.29 : x
  2. Step 2: Convert to fraction form
    1,114,478,978.04/1,671,718,777.80 = 327,532,588.29/x
  3. Step 3: Cross multiply
    1,114,478,978.04x = 1,671,718,777.80 × 327,532,588.29
  4. Step 4: Simplify right side
    1,114,478,978.04x = 547,542,378,185,829,440
  5. Step 5: Solve for x
    x = 547,542,378,185,829,440/1,114,478,978.04
  6. Step 6: Final answer
    x = 491,298,973.76

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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.