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Finding the Fourth Proportional to 757,462,055.40, 1,057,864,074.30 and 757,462,055.40

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Solution

The fourth proportional to 757,462,055.40, 1,057,864,074.30 and 757,462,055.40 is: 1,057,864,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,462,055.40 : 1,057,864,074.30 = 757,462,055.40 : x
  2. Step 2: Convert to fraction form
    757,462,055.40/1,057,864,074.30 = 757,462,055.40/x
  3. Step 3: Cross multiply
    757,462,055.40x = 1,057,864,074.30 × 757,462,055.40
  4. Step 4: Simplify right side
    757,462,055.40x = 801,291,896,053,096,192
  5. Step 5: Solve for x
    x = 801,291,896,053,096,192/757,462,055.40
  6. Step 6: Final answer
    x = 1,057,864,074.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.