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Finding the Fourth Proportional to 245,187,218,707.70, 367,780,828,061.55 and 245,187,218,707.70

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Solution

The fourth proportional to 245,187,218,707.70, 367,780,828,061.55 and 245,187,218,707.70 is: 367,780,828,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,187,218,707.70 : 367,780,828,061.55 = 245,187,218,707.70 : x
  2. Step 2: Convert to fraction form
    245,187,218,707.70/367,780,828,061.55 = 245,187,218,707.70/x
  3. Step 3: Cross multiply
    245,187,218,707.70x = 367,780,828,061.55 × 245,187,218,707.70
  4. Step 4: Simplify right side
    245,187,218,707.70x = 90,175,158,326,426,270,171,136
  5. Step 5: Solve for x
    x = 90,175,158,326,426,270,171,136/245,187,218,707.70
  6. Step 6: Final answer
    x = 367,780,828,061.55

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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.