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Finding the Fourth Proportional to 198,116,967.30, 277,937,710.50 and 198,116,967.30

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Solution

The fourth proportional to 198,116,967.30, 277,937,710.50 and 198,116,967.30 is: 277,937,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,116,967.30 : 277,937,710.50 = 198,116,967.30 : x
  2. Step 2: Convert to fraction form
    198,116,967.30/277,937,710.50 = 198,116,967.30/x
  3. Step 3: Cross multiply
    198,116,967.30x = 277,937,710.50 × 198,116,967.30
  4. Step 4: Simplify right side
    198,116,967.30x = 55,064,176,302,565,368
  5. Step 5: Solve for x
    x = 55,064,176,302,565,368/198,116,967.30
  6. Step 6: Final answer
    x = 277,937,710.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.