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Finding the Fourth Proportional to 77,732,598,643.80, 116,598,897,965.70 and 77,732,598,643.80

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Solution

The fourth proportional to 77,732,598,643.80, 116,598,897,965.70 and 77,732,598,643.80 is: 116,598,897,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,732,598,643.80 : 116,598,897,965.70 = 77,732,598,643.80 : x
  2. Step 2: Convert to fraction form
    77,732,598,643.80/116,598,897,965.70 = 77,732,598,643.80/x
  3. Step 3: Cross multiply
    77,732,598,643.80x = 116,598,897,965.70 × 77,732,598,643.80
  4. Step 4: Simplify right side
    77,732,598,643.80x = 9,063,535,337,877,146,697,728
  5. Step 5: Solve for x
    x = 9,063,535,337,877,146,697,728/77,732,598,643.80
  6. Step 6: Final answer
    x = 116,598,897,965.70

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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.