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Finding the Fourth Proportional to 664,243,519.09, 995,979,802.94 and 314,486,650.86

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Solution

The fourth proportional to 664,243,519.09, 995,979,802.94 and 314,486,650.86 is: 471,547,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,243,519.09 : 995,979,802.94 = 314,486,650.86 : x
  2. Step 2: Convert to fraction form
    664,243,519.09/995,979,802.94 = 314,486,650.86/x
  3. Step 3: Cross multiply
    664,243,519.09x = 995,979,802.94 × 314,486,650.86
  4. Step 4: Simplify right side
    664,243,519.09x = 313,222,352,550,803,392
  5. Step 5: Solve for x
    x = 313,222,352,550,803,392/664,243,519.09
  6. Step 6: Final answer
    x = 471,547,472.50

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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.