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Finding the Fourth Proportional to 2,908,045,562,380, 4,362,068,343,570.30 and 2,908,045,562,380

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Solution

The fourth proportional to 2,908,045,562,380, 4,362,068,343,570.30 and 2,908,045,562,380 is: 4,362,068,343,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908,045,562,380 : 4,362,068,343,570.30 = 2,908,045,562,380 : x
  2. Step 2: Convert to fraction form
    2,908,045,562,380/4,362,068,343,570.30 = 2,908,045,562,380/x
  3. Step 3: Cross multiply
    2,908,045,562,380x = 4,362,068,343,570.30 × 2,908,045,562,380
  4. Step 4: Simplify right side
    2,908,045,562,380x = 12,685,093,489,317,888,571,473,920
  5. Step 5: Solve for x
    x = 12,685,093,489,317,888,571,473,920/2,908,045,562,380
  6. Step 6: Final answer
    x = 4,362,068,343,570.30

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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.