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Finding the Fourth Proportional to 719,764,514.10, 1,009,030,808.70 and 719,764,514.10

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Solution

The fourth proportional to 719,764,514.10, 1,009,030,808.70 and 719,764,514.10 is: 1,009,030,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,764,514.10 : 1,009,030,808.70 = 719,764,514.10 : x
  2. Step 2: Convert to fraction form
    719,764,514.10/1,009,030,808.70 = 719,764,514.10/x
  3. Step 3: Cross multiply
    719,764,514.10x = 1,009,030,808.70 × 719,764,514.10
  4. Step 4: Simplify right side
    719,764,514.10x = 726,264,569,735,885,568
  5. Step 5: Solve for x
    x = 726,264,569,735,885,568/719,764,514.10
  6. Step 6: Final answer
    x = 1,009,030,808.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.