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Finding the Fourth Proportional to 27,799,402,800.30, 41,699,104,200.45 and 27,799,402,800.30

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Solution

The fourth proportional to 27,799,402,800.30, 41,699,104,200.45 and 27,799,402,800.30 is: 41,699,104,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799,402,800.30 : 41,699,104,200.45 = 27,799,402,800.30 : x
  2. Step 2: Convert to fraction form
    27,799,402,800.30/41,699,104,200.45 = 27,799,402,800.30/x
  3. Step 3: Cross multiply
    27,799,402,800.30x = 41,699,104,200.45 × 27,799,402,800.30
  4. Step 4: Simplify right side
    27,799,402,800.30x = 1,159,210,194,079,991,070,720
  5. Step 5: Solve for x
    x = 1,159,210,194,079,991,070,720/27,799,402,800.30
  6. Step 6: Final answer
    x = 41,699,104,200.45

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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.