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Finding the Fourth Proportional to 497,670,809.10, 746,506,213.65 and 497,670,809.10

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Solution

The fourth proportional to 497,670,809.10, 746,506,213.65 and 497,670,809.10 is: 746,506,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,670,809.10 : 746,506,213.65 = 497,670,809.10 : x
  2. Step 2: Convert to fraction form
    497,670,809.10/746,506,213.65 = 497,670,809.10/x
  3. Step 3: Cross multiply
    497,670,809.10x = 746,506,213.65 × 497,670,809.10
  4. Step 4: Simplify right side
    497,670,809.10x = 371,514,351,345,372,992
  5. Step 5: Solve for x
    x = 371,514,351,345,372,992/497,670,809.10
  6. Step 6: Final answer
    x = 746,506,213.65

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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.