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Finding the Fourth Proportional to 510,020,165.10, 715,388,720.10 and 510,020,165.10

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Solution

The fourth proportional to 510,020,165.10, 715,388,720.10 and 510,020,165.10 is: 715,388,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,020,165.10 : 715,388,720.10 = 510,020,165.10 : x
  2. Step 2: Convert to fraction form
    510,020,165.10/715,388,720.10 = 510,020,165.10/x
  3. Step 3: Cross multiply
    510,020,165.10x = 715,388,720.10 × 510,020,165.10
  4. Step 4: Simplify right side
    510,020,165.10x = 364,862,673,136,079,744
  5. Step 5: Solve for x
    x = 364,862,673,136,079,744/510,020,165.10
  6. Step 6: Final answer
    x = 715,388,720.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.