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Finding the Fourth Proportional to 711,868,515.30, 997,296,165.90 and 711,868,515.30

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Solution

The fourth proportional to 711,868,515.30, 997,296,165.90 and 711,868,515.30 is: 997,296,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,868,515.30 : 997,296,165.90 = 711,868,515.30 : x
  2. Step 2: Convert to fraction form
    711,868,515.30/997,296,165.90 = 711,868,515.30/x
  3. Step 3: Cross multiply
    711,868,515.30x = 997,296,165.90 × 711,868,515.30
  4. Step 4: Simplify right side
    711,868,515.30x = 709,943,740,933,615,360
  5. Step 5: Solve for x
    x = 709,943,740,933,615,360/711,868,515.30
  6. Step 6: Final answer
    x = 997,296,165.90

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1.5x scale

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.