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Finding the Fourth Proportional to 950,797,878,661.85, 1,426,196,817,992.80 and 950,797,878,661.85

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Solution

The fourth proportional to 950,797,878,661.85, 1,426,196,817,992.80 and 950,797,878,661.85 is: 1,426,196,817,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,797,878,661.85 : 1,426,196,817,992.80 = 950,797,878,661.85 : x
  2. Step 2: Convert to fraction form
    950,797,878,661.85/1,426,196,817,992.80 = 950,797,878,661.85/x
  3. Step 3: Cross multiply
    950,797,878,661.85x = 1,426,196,817,992.80 × 950,797,878,661.85
  4. Step 4: Simplify right side
    950,797,878,661.85x = 1,356,024,909,101,834,786,832,384
  5. Step 5: Solve for x
    x = 1,356,024,909,101,834,786,832,384/950,797,878,661.85
  6. Step 6: Final answer
    x = 1,426,196,817,992.80

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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.