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Finding the Fourth Proportional to 561,201,696,064.80, 841,802,544,097.20 and 561,201,696,064.80

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Solution

The fourth proportional to 561,201,696,064.80, 841,802,544,097.20 and 561,201,696,064.80 is: 841,802,544,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,201,696,064.80 : 841,802,544,097.20 = 561,201,696,064.80 : x
  2. Step 2: Convert to fraction form
    561,201,696,064.80/841,802,544,097.20 = 561,201,696,064.80/x
  3. Step 3: Cross multiply
    561,201,696,064.80x = 841,802,544,097.20 × 561,201,696,064.80
  4. Step 4: Simplify right side
    561,201,696,064.80x = 472,421,015,499,012,216,717,312
  5. Step 5: Solve for x
    x = 472,421,015,499,012,216,717,312/561,201,696,064.80
  6. Step 6: Final answer
    x = 841,802,544,097.20

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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.