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Finding the Fourth Proportional to 336,497,538.14, 504,746,307.21 and 336,497,538.14

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Solution

The fourth proportional to 336,497,538.14, 504,746,307.21 and 336,497,538.14 is: 504,746,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,497,538.14 : 504,746,307.21 = 336,497,538.14 : x
  2. Step 2: Convert to fraction form
    336,497,538.14/504,746,307.21 = 336,497,538.14/x
  3. Step 3: Cross multiply
    336,497,538.14x = 504,746,307.21 × 336,497,538.14
  4. Step 4: Simplify right side
    336,497,538.14x = 169,845,889,758,897,376
  5. Step 5: Solve for x
    x = 169,845,889,758,897,376/336,497,538.14
  6. Step 6: Final answer
    x = 504,746,307.21

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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.