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Finding the Fourth Proportional to 338,292,031.30, 472,588,477.10 and 338,292,031.30

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Solution

The fourth proportional to 338,292,031.30, 472,588,477.10 and 338,292,031.30 is: 472,588,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,292,031.30 : 472,588,477.10 = 338,292,031.30 : x
  2. Step 2: Convert to fraction form
    338,292,031.30/472,588,477.10 = 338,292,031.30/x
  3. Step 3: Cross multiply
    338,292,031.30x = 472,588,477.10 × 338,292,031.30
  4. Step 4: Simplify right side
    338,292,031.30x = 159,872,915,887,132,544
  5. Step 5: Solve for x
    x = 159,872,915,887,132,544/338,292,031.30
  6. Step 6: Final answer
    x = 472,588,477.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.