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Finding the Fourth Proportional to 277,798,596.25, 416,697,675.47 and 83,710,013.71

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Solution

The fourth proportional to 277,798,596.25, 416,697,675.47 and 83,710,013.71 is: 125,564,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,798,596.25 : 416,697,675.47 = 83,710,013.71 : x
  2. Step 2: Convert to fraction form
    277,798,596.25/416,697,675.47 = 83,710,013.71/x
  3. Step 3: Cross multiply
    277,798,596.25x = 416,697,675.47 × 83,710,013.71
  4. Step 4: Simplify right side
    277,798,596.25x = 34,881,768,124,016,788
  5. Step 5: Solve for x
    x = 34,881,768,124,016,788/277,798,596.25
  6. Step 6: Final answer
    x = 125,564,954.59

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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.