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Finding the Fourth Proportional to 77,019,048,000.80, 115,528,572,001.20 and 77,019,048,000.80

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Solution

The fourth proportional to 77,019,048,000.80, 115,528,572,001.20 and 77,019,048,000.80 is: 115,528,572,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019,048,000.80 : 115,528,572,001.20 = 77,019,048,000.80 : x
  2. Step 2: Convert to fraction form
    77,019,048,000.80/115,528,572,001.20 = 77,019,048,000.80/x
  3. Step 3: Cross multiply
    77,019,048,000.80x = 115,528,572,001.20 × 77,019,048,000.80
  4. Step 4: Simplify right side
    77,019,048,000.80x = 8,897,900,632,424,302,247,936
  5. Step 5: Solve for x
    x = 8,897,900,632,424,302,247,936/77,019,048,000.80
  6. Step 6: Final answer
    x = 115,528,572,001.20

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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.