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Finding the Fourth Proportional to 1,059,451,751.16, 1,462,302,900.06 and 820,824,943.68

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Solution

The fourth proportional to 1,059,451,751.16, 1,462,302,900.06 and 820,824,943.68 is: 1,132,939,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,451,751.16 : 1,462,302,900.06 = 820,824,943.68 : x
  2. Step 2: Convert to fraction form
    1,059,451,751.16/1,462,302,900.06 = 820,824,943.68/x
  3. Step 3: Cross multiply
    1,059,451,751.16x = 1,462,302,900.06 × 820,824,943.68
  4. Step 4: Simplify right side
    1,059,451,751.16x = 1,200,294,695,584,849,920
  5. Step 5: Solve for x
    x = 1,200,294,695,584,849,920/1,059,451,751.16
  6. Step 6: Final answer
    x = 1,132,939,460.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.