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Finding the Fourth Proportional to 209,916,289,243.20, 314,874,433,864.80 and 209,916,289,243.20

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Solution

The fourth proportional to 209,916,289,243.20, 314,874,433,864.80 and 209,916,289,243.20 is: 314,874,433,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,916,289,243.20 : 314,874,433,864.80 = 209,916,289,243.20 : x
  2. Step 2: Convert to fraction form
    209,916,289,243.20/314,874,433,864.80 = 209,916,289,243.20/x
  3. Step 3: Cross multiply
    209,916,289,243.20x = 314,874,433,864.80 × 209,916,289,243.20
  4. Step 4: Simplify right side
    209,916,289,243.20x = 66,097,272,734,452,207,845,376
  5. Step 5: Solve for x
    x = 66,097,272,734,452,207,845,376/209,916,289,243.20
  6. Step 6: Final answer
    x = 314,874,433,864.80

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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.