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Finding the Fourth Proportional to 908,176,536,000.65, 1,362,264,804,001 and 908,176,536,000.65

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Solution

The fourth proportional to 908,176,536,000.65, 1,362,264,804,001 and 908,176,536,000.65 is: 1,362,264,804,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,176,536,000.65 : 1,362,264,804,001 = 908,176,536,000.65 : x
  2. Step 2: Convert to fraction form
    908,176,536,000.65/1,362,264,804,001 = 908,176,536,000.65/x
  3. Step 3: Cross multiply
    908,176,536,000.65x = 1,362,264,804,001 × 908,176,536,000.65
  4. Step 4: Simplify right side
    908,176,536,000.65x = 1,237,176,930,813,232,579,346,432
  5. Step 5: Solve for x
    x = 1,237,176,930,813,232,579,346,432/908,176,536,000.65
  6. Step 6: Final answer
    x = 1,362,264,804,001

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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.