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Finding the Fourth Proportional to 561,201,696,010.65, 841,802,544,015.93 and 561,201,696,010.65

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Solution

The fourth proportional to 561,201,696,010.65, 841,802,544,015.93 and 561,201,696,010.65 is: 841,802,544,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,201,696,010.65 : 841,802,544,015.93 = 561,201,696,010.65 : x
  2. Step 2: Convert to fraction form
    561,201,696,010.65/841,802,544,015.93 = 561,201,696,010.65/x
  3. Step 3: Cross multiply
    561,201,696,010.65x = 841,802,544,015.93 × 561,201,696,010.65
  4. Step 4: Simplify right side
    561,201,696,010.65x = 472,421,015,407,819,793,367,040
  5. Step 5: Solve for x
    x = 472,421,015,407,819,793,367,040/561,201,696,010.65
  6. Step 6: Final answer
    x = 841,802,544,015.93

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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.