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Finding the Fourth Proportional to 297,960,816,117.80, 446,941,224,176.70 and 297,960,816,117.80

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Solution

The fourth proportional to 297,960,816,117.80, 446,941,224,176.70 and 297,960,816,117.80 is: 446,941,224,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,960,816,117.80 : 446,941,224,176.70 = 297,960,816,117.80 : x
  2. Step 2: Convert to fraction form
    297,960,816,117.80/446,941,224,176.70 = 297,960,816,117.80/x
  3. Step 3: Cross multiply
    297,960,816,117.80x = 446,941,224,176.70 × 297,960,816,117.80
  4. Step 4: Simplify right side
    297,960,816,117.80x = 133,170,971,912,378,133,774,336
  5. Step 5: Solve for x
    x = 133,170,971,912,378,133,774,336/297,960,816,117.80
  6. Step 6: Final answer
    x = 446,941,224,176.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.