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Finding the Fourth Proportional to 1,490,398,400.60, 2,056,689,911.76 and 812,200,950.12

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Solution

The fourth proportional to 1,490,398,400.60, 2,056,689,911.76 and 812,200,950.12 is: 1,120,804,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490,398,400.60 : 2,056,689,911.76 = 812,200,950.12 : x
  2. Step 2: Convert to fraction form
    1,490,398,400.60/2,056,689,911.76 = 812,200,950.12/x
  3. Step 3: Cross multiply
    1,490,398,400.60x = 2,056,689,911.76 × 812,200,950.12
  4. Step 4: Simplify right side
    1,490,398,400.60x = 1,670,445,500,442,946,560
  5. Step 5: Solve for x
    x = 1,670,445,500,442,946,560/1,490,398,400.60
  6. Step 6: Final answer
    x = 1,120,804,678.65

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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.