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Finding the Fourth Proportional to 497,169,575,999.10, 745,754,363,998.64 and 497,169,575,999.10

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Solution

The fourth proportional to 497,169,575,999.10, 745,754,363,998.64 and 497,169,575,999.10 is: 745,754,363,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,169,575,999.10 : 745,754,363,998.64 = 497,169,575,999.10 : x
  2. Step 2: Convert to fraction form
    497,169,575,999.10/745,754,363,998.64 = 497,169,575,999.10/x
  3. Step 3: Cross multiply
    497,169,575,999.10x = 745,754,363,998.64 × 497,169,575,999.10
  4. Step 4: Simplify right side
    497,169,575,999.10x = 370,766,380,948,682,323,263,488
  5. Step 5: Solve for x
    x = 370,766,380,948,682,323,263,488/497,169,575,999.10
  6. Step 6: Final answer
    x = 745,754,363,998.64

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1.5x scale

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.