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Finding the Fourth Proportional to 666,013,953.56, 998,616,386.45 and 333,634,414.50

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Solution

The fourth proportional to 666,013,953.56, 998,616,386.45 and 333,634,414.50 is: 500,248,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,013,953.56 : 998,616,386.45 = 333,634,414.50 : x
  2. Step 2: Convert to fraction form
    666,013,953.56/998,616,386.45 = 333,634,414.50/x
  3. Step 3: Cross multiply
    666,013,953.56x = 998,616,386.45 × 333,634,414.50
  4. Step 4: Simplify right side
    666,013,953.56x = 333,172,793,401,917,376
  5. Step 5: Solve for x
    x = 333,172,793,401,917,376/666,013,953.56
  6. Step 6: Final answer
    x = 500,248,968.69

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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.