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Finding the Fourth Proportional to 10,759,849,737,029, 16,139,774,605,544 and 10,759,849,737,029

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Solution

The fourth proportional to 10,759,849,737,029, 16,139,774,605,544 and 10,759,849,737,029 is: 16,139,774,605,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759,849,737,029 : 16,139,774,605,544 = 10,759,849,737,029 : x
  2. Step 2: Convert to fraction form
    10,759,849,737,029/16,139,774,605,544 = 10,759,849,737,029/x
  3. Step 3: Cross multiply
    10,759,849,737,029x = 16,139,774,605,544 × 10,759,849,737,029
  4. Step 4: Simplify right side
    10,759,849,737,029x = 173,661,549,545,169,941,585,461,248
  5. Step 5: Solve for x
    x = 173,661,549,545,169,941,585,461,248/10,759,849,737,029
  6. Step 6: Final answer
    x = 16,139,774,605,544

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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.