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Finding the Fourth Proportional to 701,516,708.60, 983,735,823.40 and 701,516,708.60

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Solution

The fourth proportional to 701,516,708.60, 983,735,823.40 and 701,516,708.60 is: 983,735,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,516,708.60 : 983,735,823.40 = 701,516,708.60 : x
  2. Step 2: Convert to fraction form
    701,516,708.60/983,735,823.40 = 701,516,708.60/x
  3. Step 3: Cross multiply
    701,516,708.60x = 983,735,823.40 × 701,516,708.60
  4. Step 4: Simplify right side
    701,516,708.60x = 690,107,116,963,478,912
  5. Step 5: Solve for x
    x = 690,107,116,963,478,912/701,516,708.60
  6. Step 6: Final answer
    x = 983,735,823.40

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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.