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Finding the Fourth Proportional to 776,083,165.80, 1,164,124,748.70 and 776,083,165.80

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Solution

The fourth proportional to 776,083,165.80, 1,164,124,748.70 and 776,083,165.80 is: 1,164,124,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,083,165.80 : 1,164,124,748.70 = 776,083,165.80 : x
  2. Step 2: Convert to fraction form
    776,083,165.80/1,164,124,748.70 = 776,083,165.80/x
  3. Step 3: Cross multiply
    776,083,165.80x = 1,164,124,748.70 × 776,083,165.80
  4. Step 4: Simplify right side
    776,083,165.80x = 903,457,620,357,225,472
  5. Step 5: Solve for x
    x = 903,457,620,357,225,472/776,083,165.80
  6. Step 6: Final answer
    x = 1,164,124,748.70

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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.