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Finding the Fourth Proportional to 576,574,848,600.09, 864,862,272,900.09 and 576,574,848,600.09

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Solution

The fourth proportional to 576,574,848,600.09, 864,862,272,900.09 and 576,574,848,600.09 is: 864,862,272,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,574,848,600.09 : 864,862,272,900.09 = 576,574,848,600.09 : x
  2. Step 2: Convert to fraction form
    576,574,848,600.09/864,862,272,900.09 = 576,574,848,600.09/x
  3. Step 3: Cross multiply
    576,574,848,600.09x = 864,862,272,900.09 × 576,574,848,600.09
  4. Step 4: Simplify right side
    576,574,848,600.09x = 498,657,834,057,299,065,307,136
  5. Step 5: Solve for x
    x = 498,657,834,057,299,065,307,136/576,574,848,600.09
  6. Step 6: Final answer
    x = 864,862,272,900.09

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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.