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Finding the Fourth Proportional to 145,366,900,817.30, 218,050,351,225.95 and 145,366,900,817.30

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Solution

The fourth proportional to 145,366,900,817.30, 218,050,351,225.95 and 145,366,900,817.30 is: 218,050,351,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,366,900,817.30 : 218,050,351,225.95 = 145,366,900,817.30 : x
  2. Step 2: Convert to fraction form
    145,366,900,817.30/218,050,351,225.95 = 145,366,900,817.30/x
  3. Step 3: Cross multiply
    145,366,900,817.30x = 218,050,351,225.95 × 145,366,900,817.30
  4. Step 4: Simplify right side
    145,366,900,817.30x = 31,697,303,779,840,100,401,152
  5. Step 5: Solve for x
    x = 31,697,303,779,840,100,401,152/145,366,900,817.30
  6. Step 6: Final answer
    x = 218,050,351,225.95

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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.