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Finding the Fourth Proportional to 10,339,716,235,432, 15,509,574,353,151 and 10,339,716,235,432

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Solution

The fourth proportional to 10,339,716,235,432, 15,509,574,353,151 and 10,339,716,235,432 is: 15,509,574,353,151

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339,716,235,432 : 15,509,574,353,151 = 10,339,716,235,432 : x
  2. Step 2: Convert to fraction form
    10,339,716,235,432/15,509,574,353,151 = 10,339,716,235,432/x
  3. Step 3: Cross multiply
    10,339,716,235,432x = 15,509,574,353,151 × 10,339,716,235,432
  4. Step 4: Simplify right side
    10,339,716,235,432x = 160,364,597,743,915,159,756,210,176
  5. Step 5: Solve for x
    x = 160,364,597,743,915,159,756,210,176/10,339,716,235,432
  6. Step 6: Final answer
    x = 15,509,574,353,151

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1.5x scale

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.