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Finding the Fourth Proportional to 314,874,432,123.30, 472,311,648,184.95 and 314,874,432,123.30

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Solution

The fourth proportional to 314,874,432,123.30, 472,311,648,184.95 and 314,874,432,123.30 is: 472,311,648,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874,432,123.30 : 472,311,648,184.95 = 314,874,432,123.30 : x
  2. Step 2: Convert to fraction form
    314,874,432,123.30/472,311,648,184.95 = 314,874,432,123.30/x
  3. Step 3: Cross multiply
    314,874,432,123.30x = 472,311,648,184.95 × 314,874,432,123.30
  4. Step 4: Simplify right side
    314,874,432,123.30x = 148,718,862,007,455,990,153,216
  5. Step 5: Solve for x
    x = 148,718,862,007,455,990,153,216/314,874,432,123.30
  6. Step 6: Final answer
    x = 472,311,648,184.95

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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.