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Finding the Fourth Proportional to 307,789,725,501.90, 461,684,588,252.85 and 307,789,725,501.90

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Solution

The fourth proportional to 307,789,725,501.90, 461,684,588,252.85 and 307,789,725,501.90 is: 461,684,588,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,789,725,501.90 : 461,684,588,252.85 = 307,789,725,501.90 : x
  2. Step 2: Convert to fraction form
    307,789,725,501.90/461,684,588,252.85 = 307,789,725,501.90/x
  3. Step 3: Cross multiply
    307,789,725,501.90x = 461,684,588,252.85 × 307,789,725,501.90
  4. Step 4: Simplify right side
    307,789,725,501.90x = 142,101,772,686,802,435,440,640
  5. Step 5: Solve for x
    x = 142,101,772,686,802,435,440,640/307,789,725,501.90
  6. Step 6: Final answer
    x = 461,684,588,252.85

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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.