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Finding the Fourth Proportional to 478,300,234.30, 716,316,610.65 and 478,300,234.30

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Solution

The fourth proportional to 478,300,234.30, 716,316,610.65 and 478,300,234.30 is: 716,316,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,300,234.30 : 716,316,610.65 = 478,300,234.30 : x
  2. Step 2: Convert to fraction form
    478,300,234.30/716,316,610.65 = 478,300,234.30/x
  3. Step 3: Cross multiply
    478,300,234.30x = 716,316,610.65 × 478,300,234.30
  4. Step 4: Simplify right side
    478,300,234.30x = 342,614,402,706,876,864
  5. Step 5: Solve for x
    x = 342,614,402,706,876,864/478,300,234.30
  6. Step 6: Final answer
    x = 716,316,610.65

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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.