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Finding the Fourth Proportional to 497,763,008.70, 695,576,810.55 and 497,763,008.70

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Solution

The fourth proportional to 497,763,008.70, 695,576,810.55 and 497,763,008.70 is: 695,576,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,763,008.70 : 695,576,810.55 = 497,763,008.70 : x
  2. Step 2: Convert to fraction form
    497,763,008.70/695,576,810.55 = 497,763,008.70/x
  3. Step 3: Cross multiply
    497,763,008.70x = 695,576,810.55 × 497,763,008.70
  4. Step 4: Simplify right side
    497,763,008.70x = 346,232,406,001,317,888
  5. Step 5: Solve for x
    x = 346,232,406,001,317,888/497,763,008.70
  6. Step 6: Final answer
    x = 695,576,810.55

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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.