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Finding the Fourth Proportional to 873,273,763.26, 1,205,223,468.66 and 497,021,831.28

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Solution

The fourth proportional to 873,273,763.26, 1,205,223,468.66 and 497,021,831.28 is: 685,950,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,273,763.26 : 1,205,223,468.66 = 497,021,831.28 : x
  2. Step 2: Convert to fraction form
    873,273,763.26/1,205,223,468.66 = 497,021,831.28/x
  3. Step 3: Cross multiply
    873,273,763.26x = 1,205,223,468.66 × 497,021,831.28
  4. Step 4: Simplify right side
    873,273,763.26x = 599,022,375,495,026,944
  5. Step 5: Solve for x
    x = 599,022,375,495,026,944/873,273,763.26
  6. Step 6: Final answer
    x = 685,950,272.06

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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.