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Finding the Fourth Proportional to 70,546,178,047.30, 105,819,267,070.95 and 70,546,178,047.30

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Solution

The fourth proportional to 70,546,178,047.30, 105,819,267,070.95 and 70,546,178,047.30 is: 105,819,267,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,546,178,047.30 : 105,819,267,070.95 = 70,546,178,047.30 : x
  2. Step 2: Convert to fraction form
    70,546,178,047.30/105,819,267,070.95 = 70,546,178,047.30/x
  3. Step 3: Cross multiply
    70,546,178,047.30x = 105,819,267,070.95 × 70,546,178,047.30
  4. Step 4: Simplify right side
    70,546,178,047.30x = 7,465,144,855,622,028,623,872
  5. Step 5: Solve for x
    x = 7,465,144,855,622,028,623,872/70,546,178,047.30
  6. Step 6: Final answer
    x = 105,819,267,070.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.