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Finding the Fourth Proportional to 765,252,576,083.02, 1,147,878,864,124.40 and 765,252,576,083.02

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Solution

The fourth proportional to 765,252,576,083.02, 1,147,878,864,124.40 and 765,252,576,083.02 is: 1,147,878,864,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,252,576,083.02 : 1,147,878,864,124.40 = 765,252,576,083.02 : x
  2. Step 2: Convert to fraction form
    765,252,576,083.02/1,147,878,864,124.40 = 765,252,576,083.02/x
  3. Step 3: Cross multiply
    765,252,576,083.02x = 1,147,878,864,124.40 × 765,252,576,083.02
  4. Step 4: Simplify right side
    765,252,576,083.02x = 878,417,257,802,447,968,010,240
  5. Step 5: Solve for x
    x = 878,417,257,802,447,968,010,240/765,252,576,083.02
  6. Step 6: Final answer
    x = 1,147,878,864,124.40

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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.