Home / 413,160,978-570,156,516.50-234,543,312.74

Finding the Fourth Proportional to 413,160,978, 570,156,516.50 and 234,543,312.74

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Solution

The fourth proportional to 413,160,978, 570,156,516.50 and 234,543,312.74 is: 323,666,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,160,978 : 570,156,516.50 = 234,543,312.74 : x
  2. Step 2: Convert to fraction form
    413,160,978/570,156,516.50 = 234,543,312.74/x
  3. Step 3: Cross multiply
    413,160,978x = 570,156,516.50 × 234,543,312.74
  4. Step 4: Simplify right side
    413,160,978x = 133,726,398,160,208,480
  5. Step 5: Solve for x
    x = 133,726,398,160,208,480/413,160,978
  6. Step 6: Final answer
    x = 323,666,573.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.