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Finding the Fourth Proportional to 518,732,307.54, 715,772,443.68 and 295,733,365.38

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Solution

The fourth proportional to 518,732,307.54, 715,772,443.68 and 295,733,365.38 is: 408,067,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,732,307.54 : 715,772,443.68 = 295,733,365.38 : x
  2. Step 2: Convert to fraction form
    518,732,307.54/715,772,443.68 = 295,733,365.38/x
  3. Step 3: Cross multiply
    518,732,307.54x = 715,772,443.68 × 295,733,365.38
  4. Step 4: Simplify right side
    518,732,307.54x = 211,677,793,615,752,896
  5. Step 5: Solve for x
    x = 211,677,793,615,752,896/518,732,307.54
  6. Step 6: Final answer
    x = 408,067,495.58

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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.