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Finding the Fourth Proportional to 478,224,630.30, 716,203,204.65 and 478,224,630.30

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Solution

The fourth proportional to 478,224,630.30, 716,203,204.65 and 478,224,630.30 is: 716,203,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,224,630.30 : 716,203,204.65 = 478,224,630.30 : x
  2. Step 2: Convert to fraction form
    478,224,630.30/716,203,204.65 = 478,224,630.30/x
  3. Step 3: Cross multiply
    478,224,630.30x = 716,203,204.65 × 478,224,630.30
  4. Step 4: Simplify right side
    478,224,630.30x = 342,506,012,763,421,504
  5. Step 5: Solve for x
    x = 342,506,012,763,421,504/478,224,630.30
  6. Step 6: Final answer
    x = 716,203,204.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.