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Finding the Fourth Proportional to 612,912,581,999.30, 919,368,872,998.95 and 612,912,581,999.30

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Solution

The fourth proportional to 612,912,581,999.30, 919,368,872,998.95 and 612,912,581,999.30 is: 919,368,872,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,912,581,999.30 : 919,368,872,998.95 = 612,912,581,999.30 : x
  2. Step 2: Convert to fraction form
    612,912,581,999.30/919,368,872,998.95 = 612,912,581,999.30/x
  3. Step 3: Cross multiply
    612,912,581,999.30x = 919,368,872,998.95 × 612,912,581,999.30
  4. Step 4: Simplify right side
    612,912,581,999.30x = 563,492,749,759,572,971,880,448
  5. Step 5: Solve for x
    x = 563,492,749,759,572,971,880,448/612,912,581,999.30
  6. Step 6: Final answer
    x = 919,368,872,998.95

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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.