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Finding the Fourth Proportional to 561,201,695,999.90, 841,802,543,999.85 and 561,201,695,999.90

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Solution

The fourth proportional to 561,201,695,999.90, 841,802,543,999.85 and 561,201,695,999.90 is: 841,802,543,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,201,695,999.90 : 841,802,543,999.85 = 561,201,695,999.90 : x
  2. Step 2: Convert to fraction form
    561,201,695,999.90/841,802,543,999.85 = 561,201,695,999.90/x
  3. Step 3: Cross multiply
    561,201,695,999.90x = 841,802,543,999.85 × 561,201,695,999.90
  4. Step 4: Simplify right side
    561,201,695,999.90x = 472,421,015,389,746,302,550,016
  5. Step 5: Solve for x
    x = 472,421,015,389,746,302,550,016/561,201,695,999.90
  6. Step 6: Final answer
    x = 841,802,543,999.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.