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Finding the Fourth Proportional to 535,692,529,703.60, 803,538,794,555.40 and 482,693,406,808.40

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Solution

The fourth proportional to 535,692,529,703.60, 803,538,794,555.40 and 482,693,406,808.40 is: 724,040,110,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,692,529,703.60 : 803,538,794,555.40 = 482,693,406,808.40 : x
  2. Step 2: Convert to fraction form
    535,692,529,703.60/803,538,794,555.40 = 482,693,406,808.40/x
  3. Step 3: Cross multiply
    535,692,529,703.60x = 803,538,794,555.40 × 482,693,406,808.40
  4. Step 4: Simplify right side
    535,692,529,703.60x = 387,862,878,246,661,055,840,256
  5. Step 5: Solve for x
    x = 387,862,878,246,661,055,840,256/535,692,529,703.60
  6. Step 6: Final answer
    x = 724,040,110,212.60

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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.