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Finding the Fourth Proportional to 10,707,075,216,095, 16,060,612,824,143 and 10,707,075,216,095

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Solution

The fourth proportional to 10,707,075,216,095, 16,060,612,824,143 and 10,707,075,216,095 is: 16,060,612,824,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707,075,216,095 : 16,060,612,824,143 = 10,707,075,216,095 : x
  2. Step 2: Convert to fraction form
    10,707,075,216,095/16,060,612,824,143 = 10,707,075,216,095/x
  3. Step 3: Cross multiply
    10,707,075,216,095x = 16,060,612,824,143 × 10,707,075,216,095
  4. Step 4: Simplify right side
    10,707,075,216,095x = 171,962,189,524,679,030,111,993,856
  5. Step 5: Solve for x
    x = 171,962,189,524,679,030,111,993,856/10,707,075,216,095
  6. Step 6: Final answer
    x = 16,060,612,824,143

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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.