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Finding the Fourth Proportional to 906,966,016,019.40, 1,360,449,024,029.10 and 906,966,016,019.40

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Solution

The fourth proportional to 906,966,016,019.40, 1,360,449,024,029.10 and 906,966,016,019.40 is: 1,360,449,024,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,966,016,019.40 : 1,360,449,024,029.10 = 906,966,016,019.40 : x
  2. Step 2: Convert to fraction form
    906,966,016,019.40/1,360,449,024,029.10 = 906,966,016,019.40/x
  3. Step 3: Cross multiply
    906,966,016,019.40x = 1,360,449,024,029.10 × 906,966,016,019.40
  4. Step 4: Simplify right side
    906,966,016,019.40x = 1,233,881,031,321,153,968,275,456
  5. Step 5: Solve for x
    x = 1,233,881,031,321,153,968,275,456/906,966,016,019.40
  6. Step 6: Final answer
    x = 1,360,449,024,029.10

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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.