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Finding the Fourth Proportional to 10,339,716,235,378, 15,509,574,353,072 and 10,339,716,235,378

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Solution

The fourth proportional to 10,339,716,235,378, 15,509,574,353,072 and 10,339,716,235,378 is: 15,509,574,353,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339,716,235,378 : 15,509,574,353,072 = 10,339,716,235,378 : x
  2. Step 2: Convert to fraction form
    10,339,716,235,378/15,509,574,353,072 = 10,339,716,235,378/x
  3. Step 3: Cross multiply
    10,339,716,235,378x = 15,509,574,353,072 × 10,339,716,235,378
  4. Step 4: Simplify right side
    10,339,716,235,378x = 160,364,597,742,260,807,073,267,712
  5. Step 5: Solve for x
    x = 160,364,597,742,260,807,073,267,712/10,339,716,235,378
  6. Step 6: Final answer
    x = 15,509,574,353,072

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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.