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Finding the Fourth Proportional to 49,779,825,661.70, 74,669,738,492.55 and 49,779,825,661.70

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Solution

The fourth proportional to 49,779,825,661.70, 74,669,738,492.55 and 49,779,825,661.70 is: 74,669,738,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,779,825,661.70 : 74,669,738,492.55 = 49,779,825,661.70 : x
  2. Step 2: Convert to fraction form
    49,779,825,661.70/74,669,738,492.55 = 49,779,825,661.70/x
  3. Step 3: Cross multiply
    49,779,825,661.70x = 74,669,738,492.55 × 49,779,825,661.70
  4. Step 4: Simplify right side
    49,779,825,661.70x = 3,717,046,564,363,868,569,600
  5. Step 5: Solve for x
    x = 3,717,046,564,363,868,569,600/49,779,825,661.70
  6. Step 6: Final answer
    x = 74,669,738,492.55

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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.