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Finding the Fourth Proportional to 719,322,446.40, 1,078,983,669.60 and 719,322,446.40

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Solution

The fourth proportional to 719,322,446.40, 1,078,983,669.60 and 719,322,446.40 is: 1,078,983,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,322,446.40 : 1,078,983,669.60 = 719,322,446.40 : x
  2. Step 2: Convert to fraction form
    719,322,446.40/1,078,983,669.60 = 719,322,446.40/x
  3. Step 3: Cross multiply
    719,322,446.40x = 1,078,983,669.60 × 719,322,446.40
  4. Step 4: Simplify right side
    719,322,446.40x = 776,137,172,842,321,152
  5. Step 5: Solve for x
    x = 776,137,172,842,321,152/719,322,446.40
  6. Step 6: Final answer
    x = 1,078,983,669.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.