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Finding the Fourth Proportional to 1,225,775,363,724.50, 1,838,663,045,586.80 and 1,225,775,363,724.50

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Solution

The fourth proportional to 1,225,775,363,724.50, 1,838,663,045,586.80 and 1,225,775,363,724.50 is: 1,838,663,045,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,775,363,724.50 : 1,838,663,045,586.80 = 1,225,775,363,724.50 : x
  2. Step 2: Convert to fraction form
    1,225,775,363,724.50/1,838,663,045,586.80 = 1,225,775,363,724.50/x
  3. Step 3: Cross multiply
    1,225,775,363,724.50x = 1,838,663,045,586.80 × 1,225,775,363,724.50
  4. Step 4: Simplify right side
    1,225,775,363,724.50x = 2,253,787,863,470,956,724,879,360
  5. Step 5: Solve for x
    x = 2,253,787,863,470,956,724,879,360/1,225,775,363,724.50
  6. Step 6: Final answer
    x = 1,838,663,045,586.80

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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.