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Finding the Fourth Proportional to 478,832,668.10, 718,249,002.15 and 478,832,668.10

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Solution

The fourth proportional to 478,832,668.10, 718,249,002.15 and 478,832,668.10 is: 718,249,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,832,668.10 : 718,249,002.15 = 478,832,668.10 : x
  2. Step 2: Convert to fraction form
    478,832,668.10/718,249,002.15 = 478,832,668.10/x
  3. Step 3: Cross multiply
    478,832,668.10x = 718,249,002.15 × 478,832,668.10
  4. Step 4: Simplify right side
    478,832,668.10x = 343,921,086,059,647,168
  5. Step 5: Solve for x
    x = 343,921,086,059,647,168/478,832,668.10
  6. Step 6: Final answer
    x = 718,249,002.15

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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.