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Finding the Fourth Proportional to 307,789,725,530.40, 461,684,588,295.60 and 307,789,725,530.40

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Solution

The fourth proportional to 307,789,725,530.40, 461,684,588,295.60 and 307,789,725,530.40 is: 461,684,588,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,789,725,530.40 : 461,684,588,295.60 = 307,789,725,530.40 : x
  2. Step 2: Convert to fraction form
    307,789,725,530.40/461,684,588,295.60 = 307,789,725,530.40/x
  3. Step 3: Cross multiply
    307,789,725,530.40x = 461,684,588,295.60 × 307,789,725,530.40
  4. Step 4: Simplify right side
    307,789,725,530.40x = 142,101,772,713,118,455,037,952
  5. Step 5: Solve for x
    x = 142,101,772,713,118,455,037,952/307,789,725,530.40
  6. Step 6: Final answer
    x = 461,684,588,295.60

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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.