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Finding the Fourth Proportional to 2,369,923,779,224.50, 3,554,885,668,836.70 and 2,369,923,779,224.50

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Solution

The fourth proportional to 2,369,923,779,224.50, 3,554,885,668,836.70 and 2,369,923,779,224.50 is: 3,554,885,668,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,923,779,224.50 : 3,554,885,668,836.70 = 2,369,923,779,224.50 : x
  2. Step 2: Convert to fraction form
    2,369,923,779,224.50/3,554,885,668,836.70 = 2,369,923,779,224.50/x
  3. Step 3: Cross multiply
    2,369,923,779,224.50x = 3,554,885,668,836.70 × 2,369,923,779,224.50
  4. Step 4: Simplify right side
    2,369,923,779,224.50x = 8,424,808,079,000,486,709,035,008
  5. Step 5: Solve for x
    x = 8,424,808,079,000,486,709,035,008/2,369,923,779,224.50
  6. Step 6: Final answer
    x = 3,554,885,668,836.70

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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.