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Finding the Fourth Proportional to 2,908,045,562,376, 4,362,068,343,563.80 and 2,908,045,562,376

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Solution

The fourth proportional to 2,908,045,562,376, 4,362,068,343,563.80 and 2,908,045,562,376 is: 4,362,068,343,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908,045,562,376 : 4,362,068,343,563.80 = 2,908,045,562,376 : x
  2. Step 2: Convert to fraction form
    2,908,045,562,376/4,362,068,343,563.80 = 2,908,045,562,376/x
  3. Step 3: Cross multiply
    2,908,045,562,376x = 4,362,068,343,563.80 × 2,908,045,562,376
  4. Step 4: Simplify right side
    2,908,045,562,376x = 12,685,093,489,281,535,968,280,576
  5. Step 5: Solve for x
    x = 12,685,093,489,281,535,968,280,576/2,908,045,562,376
  6. Step 6: Final answer
    x = 4,362,068,343,563.80

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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.