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Finding the Fourth Proportional to 604,642,886,561.60, 906,964,329,842.40 and 604,642,886,561.60

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Solution

The fourth proportional to 604,642,886,561.60, 906,964,329,842.40 and 604,642,886,561.60 is: 906,964,329,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,642,886,561.60 : 906,964,329,842.40 = 604,642,886,561.60 : x
  2. Step 2: Convert to fraction form
    604,642,886,561.60/906,964,329,842.40 = 604,642,886,561.60/x
  3. Step 3: Cross multiply
    604,642,886,561.60x = 906,964,329,842.40 × 604,642,886,561.60
  4. Step 4: Simplify right side
    604,642,886,561.60x = 548,389,530,404,315,799,224,320
  5. Step 5: Solve for x
    x = 548,389,530,404,315,799,224,320/604,642,886,561.60
  6. Step 6: Final answer
    x = 906,964,329,842.40

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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.