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Finding the Fourth Proportional to 200,208,301.60, 280,896,284 and 200,208,301.60

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Solution

The fourth proportional to 200,208,301.60, 280,896,284 and 200,208,301.60 is: 280,896,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,208,301.60 : 280,896,284 = 200,208,301.60 : x
  2. Step 2: Convert to fraction form
    200,208,301.60/280,896,284 = 200,208,301.60/x
  3. Step 3: Cross multiply
    200,208,301.60x = 280,896,284 × 200,208,301.60
  4. Step 4: Simplify right side
    200,208,301.60x = 56,237,767,945,391,256
  5. Step 5: Solve for x
    x = 56,237,767,945,391,256/200,208,301.60
  6. Step 6: Final answer
    x = 280,896,284

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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.