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Finding the Fourth Proportional to 654,892,875,991.80, 982,339,313,987.70 and 654,892,875,991.80

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Solution

The fourth proportional to 654,892,875,991.80, 982,339,313,987.70 and 654,892,875,991.80 is: 982,339,313,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,892,875,991.80 : 982,339,313,987.70 = 654,892,875,991.80 : x
  2. Step 2: Convert to fraction form
    654,892,875,991.80/982,339,313,987.70 = 654,892,875,991.80/x
  3. Step 3: Cross multiply
    654,892,875,991.80x = 982,339,313,987.70 × 654,892,875,991.80
  4. Step 4: Simplify right side
    654,892,875,991.80x = 643,327,018,537,216,748,027,904
  5. Step 5: Solve for x
    x = 643,327,018,537,216,748,027,904/654,892,875,991.80
  6. Step 6: Final answer
    x = 982,339,313,987.70

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Double scale
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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.