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Finding the Fourth Proportional to 776,971,403.20, 1,165,457,104.80 and 776,971,403.20

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Solution

The fourth proportional to 776,971,403.20, 1,165,457,104.80 and 776,971,403.20 is: 1,165,457,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,971,403.20 : 1,165,457,104.80 = 776,971,403.20 : x
  2. Step 2: Convert to fraction form
    776,971,403.20/1,165,457,104.80 = 776,971,403.20/x
  3. Step 3: Cross multiply
    776,971,403.20x = 1,165,457,104.80 × 776,971,403.20
  4. Step 4: Simplify right side
    776,971,403.20x = 905,526,842,085,865,472
  5. Step 5: Solve for x
    x = 905,526,842,085,865,472/776,971,403.20
  6. Step 6: Final answer
    x = 1,165,457,104.80

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1.5x scale

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.