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Finding the Fourth Proportional to 478,281,650.40, 716,147,017.20 and 478,281,650.40

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Solution

The fourth proportional to 478,281,650.40, 716,147,017.20 and 478,281,650.40 is: 716,147,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,281,650.40 : 716,147,017.20 = 478,281,650.40 : x
  2. Step 2: Convert to fraction form
    478,281,650.40/716,147,017.20 = 478,281,650.40/x
  3. Step 3: Cross multiply
    478,281,650.40x = 716,147,017.20 × 478,281,650.40
  4. Step 4: Simplify right side
    478,281,650.40x = 342,519,977,315,453,184
  5. Step 5: Solve for x
    x = 342,519,977,315,453,184/478,281,650.40
  6. Step 6: Final answer
    x = 716,147,017.20

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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.