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Finding the Fourth Proportional to 155,164,369,501.67, 232,746,554,252.51 and 155,164,369,501.67

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Solution

The fourth proportional to 155,164,369,501.67, 232,746,554,252.51 and 155,164,369,501.67 is: 232,746,554,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,164,369,501.67 : 232,746,554,252.51 = 155,164,369,501.67 : x
  2. Step 2: Convert to fraction form
    155,164,369,501.67/232,746,554,252.51 = 155,164,369,501.67/x
  3. Step 3: Cross multiply
    155,164,369,501.67x = 232,746,554,252.51 × 155,164,369,501.67
  4. Step 4: Simplify right side
    155,164,369,501.67x = 36,113,972,344,276,947,828,736
  5. Step 5: Solve for x
    x = 36,113,972,344,276,947,828,736/155,164,369,501.67
  6. Step 6: Final answer
    x = 232,746,554,252.51

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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.