Home / 491,159,143,123.24-736,080,164,115.78-382,257,368,349.51

Finding the Fourth Proportional to 491,159,143,123.24, 736,080,164,115.78 and 382,257,368,349.51

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Solution

The fourth proportional to 491,159,143,123.24, 736,080,164,115.78 and 382,257,368,349.51 is: 572,873,518,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,159,143,123.24 : 736,080,164,115.78 = 382,257,368,349.51 : x
  2. Step 2: Convert to fraction form
    491,159,143,123.24/736,080,164,115.78 = 382,257,368,349.51/x
  3. Step 3: Cross multiply
    491,159,143,123.24x = 736,080,164,115.78 × 382,257,368,349.51
  4. Step 4: Simplify right side
    491,159,143,123.24x = 281,372,066,429,173,497,856,000
  5. Step 5: Solve for x
    x = 281,372,066,429,173,497,856,000/491,159,143,123.24
  6. Step 6: Final answer
    x = 572,873,518,428.17

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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.