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Finding the Fourth Proportional to 213,125,959.30, 298,678,673.90 and 213,125,959.30

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Solution

The fourth proportional to 213,125,959.30, 298,678,673.90 and 213,125,959.30 is: 298,678,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,125,959.30 : 298,678,673.90 = 213,125,959.30 : x
  2. Step 2: Convert to fraction form
    213,125,959.30/298,678,673.90 = 213,125,959.30/x
  3. Step 3: Cross multiply
    213,125,959.30x = 298,678,673.90 × 213,125,959.30
  4. Step 4: Simplify right side
    213,125,959.30x = 63,656,178,897,389,368
  5. Step 5: Solve for x
    x = 63,656,178,897,389,368/213,125,959.30
  6. Step 6: Final answer
    x = 298,678,673.90

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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.