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Finding the Fourth Proportional to 497,738,412.70, 746,607,619.05 and 497,738,412.70

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Solution

The fourth proportional to 497,738,412.70, 746,607,619.05 and 497,738,412.70 is: 746,607,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,738,412.70 : 746,607,619.05 = 497,738,412.70 : x
  2. Step 2: Convert to fraction form
    497,738,412.70/746,607,619.05 = 497,738,412.70/x
  3. Step 3: Cross multiply
    497,738,412.70x = 746,607,619.05 × 497,738,412.70
  4. Step 4: Simplify right side
    497,738,412.70x = 371,615,291,215,673,280
  5. Step 5: Solve for x
    x = 371,615,291,215,673,280/497,738,412.70
  6. Step 6: Final answer
    x = 746,607,619.05

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1.5x scale

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.