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Finding the Fourth Proportional to 232,746,554,861.70, 349,119,832,292.55 and 232,746,554,861.70

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Solution

The fourth proportional to 232,746,554,861.70, 349,119,832,292.55 and 232,746,554,861.70 is: 349,119,832,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,746,554,861.70 : 349,119,832,292.55 = 232,746,554,861.70 : x
  2. Step 2: Convert to fraction form
    232,746,554,861.70/349,119,832,292.55 = 232,746,554,861.70/x
  3. Step 3: Cross multiply
    232,746,554,861.70x = 349,119,832,292.55 × 232,746,554,861.70
  4. Step 4: Simplify right side
    232,746,554,861.70x = 81,256,438,199,985,501,110,272
  5. Step 5: Solve for x
    x = 81,256,438,199,985,501,110,272/232,746,554,861.70
  6. Step 6: Final answer
    x = 349,119,832,292.55

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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.