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Finding the Fourth Proportional to 710,619,983.60, 1,064,016,787.80 and 710,619,983.60

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Solution

The fourth proportional to 710,619,983.60, 1,064,016,787.80 and 710,619,983.60 is: 1,064,016,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,619,983.60 : 1,064,016,787.80 = 710,619,983.60 : x
  2. Step 2: Convert to fraction form
    710,619,983.60/1,064,016,787.80 = 710,619,983.60/x
  3. Step 3: Cross multiply
    710,619,983.60x = 1,064,016,787.80 × 710,619,983.60
  4. Step 4: Simplify right side
    710,619,983.60x = 756,111,592,296,560,640
  5. Step 5: Solve for x
    x = 756,111,592,296,560,640/710,619,983.60
  6. Step 6: Final answer
    x = 1,064,016,787.80

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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.