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Finding the Fourth Proportional to 478,224,634.80, 716,203,211.40 and 478,224,634.80

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Solution

The fourth proportional to 478,224,634.80, 716,203,211.40 and 478,224,634.80 is: 716,203,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,224,634.80 : 716,203,211.40 = 478,224,634.80 : x
  2. Step 2: Convert to fraction form
    478,224,634.80/716,203,211.40 = 478,224,634.80/x
  3. Step 3: Cross multiply
    478,224,634.80x = 716,203,211.40 × 478,224,634.80
  4. Step 4: Simplify right side
    478,224,634.80x = 342,506,019,214,352,192
  5. Step 5: Solve for x
    x = 342,506,019,214,352,192/478,224,634.80
  6. Step 6: Final answer
    x = 716,203,211.40

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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.