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Finding the Fourth Proportional to 735,141,107.90, 1,029,962,826.10 and 735,141,107.90

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Solution

The fourth proportional to 735,141,107.90, 1,029,962,826.10 and 735,141,107.90 is: 1,029,962,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,141,107.90 : 1,029,962,826.10 = 735,141,107.90 : x
  2. Step 2: Convert to fraction form
    735,141,107.90/1,029,962,826.10 = 735,141,107.90/x
  3. Step 3: Cross multiply
    735,141,107.90x = 1,029,962,826.10 × 735,141,107.90
  4. Step 4: Simplify right side
    735,141,107.90x = 757,168,013,074,969,088
  5. Step 5: Solve for x
    x = 757,168,013,074,969,088/735,141,107.90
  6. Step 6: Final answer
    x = 1,029,962,826.10

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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.