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Finding the Fourth Proportional to 5,668,713,032.40, 7,917,831,644.40 and 5,668,713,032.40

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Solution

The fourth proportional to 5,668,713,032.40, 7,917,831,644.40 and 5,668,713,032.40 is: 7,917,831,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668,713,032.40 : 7,917,831,644.40 = 5,668,713,032.40 : x
  2. Step 2: Convert to fraction form
    5,668,713,032.40/7,917,831,644.40 = 5,668,713,032.40/x
  3. Step 3: Cross multiply
    5,668,713,032.40x = 7,917,831,644.40 × 5,668,713,032.40
  4. Step 4: Simplify right side
    5,668,713,032.40x = 44,883,915,430,959,398,912
  5. Step 5: Solve for x
    x = 44,883,915,430,959,398,912/5,668,713,032.40
  6. Step 6: Final answer
    x = 7,917,831,644.40

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Why These Related Problems?

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