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Finding the Fourth Proportional to 192,657,208,097.80, 288,985,812,146.70 and 192,657,208,097.80

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Solution

The fourth proportional to 192,657,208,097.80, 288,985,812,146.70 and 192,657,208,097.80 is: 288,985,812,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,657,208,097.80 : 288,985,812,146.70 = 192,657,208,097.80 : x
  2. Step 2: Convert to fraction form
    192,657,208,097.80/288,985,812,146.70 = 192,657,208,097.80/x
  3. Step 3: Cross multiply
    192,657,208,097.80x = 288,985,812,146.70 × 192,657,208,097.80
  4. Step 4: Simplify right side
    192,657,208,097.80x = 55,675,199,748,058,516,553,728
  5. Step 5: Solve for x
    x = 55,675,199,748,058,516,553,728/192,657,208,097.80
  6. Step 6: Final answer
    x = 288,985,812,146.70

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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.