Home / 416,524,461,312.14-574,757,797,641.85-233,583,916,195.14

Finding the Fourth Proportional to 416,524,461,312.14, 574,757,797,641.85 and 233,583,916,195.14

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Solution

The fourth proportional to 416,524,461,312.14, 574,757,797,641.85 and 233,583,916,195.14 is: 322,320,030,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,524,461,312.14 : 574,757,797,641.85 = 233,583,916,195.14 : x
  2. Step 2: Convert to fraction form
    416,524,461,312.14/574,757,797,641.85 = 233,583,916,195.14/x
  3. Step 3: Cross multiply
    416,524,461,312.14x = 574,757,797,641.85 × 233,583,916,195.14
  4. Step 4: Simplify right side
    416,524,461,312.14x = 134,254,177,236,877,123,256,320
  5. Step 5: Solve for x
    x = 134,254,177,236,877,123,256,320/416,524,461,312.14
  6. Step 6: Final answer
    x = 322,320,030,890.74

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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.