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Finding the Fourth Proportional to 701,516,714.10, 983,735,831.10 and 701,516,714.10

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Solution

The fourth proportional to 701,516,714.10, 983,735,831.10 and 701,516,714.10 is: 983,735,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,516,714.10 : 983,735,831.10 = 701,516,714.10 : x
  2. Step 2: Convert to fraction form
    701,516,714.10/983,735,831.10 = 701,516,714.10/x
  3. Step 3: Cross multiply
    701,516,714.10x = 983,735,831.10 × 701,516,714.10
  4. Step 4: Simplify right side
    701,516,714.10x = 690,107,127,775,704,576
  5. Step 5: Solve for x
    x = 690,107,127,775,704,576/701,516,714.10
  6. Step 6: Final answer
    x = 983,735,831.10

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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.