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Finding the Fourth Proportional to 20,472,783,265.07, 30,709,174,897.59 and 20,472,783,265.07

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Solution

The fourth proportional to 20,472,783,265.07, 30,709,174,897.59 and 20,472,783,265.07 is: 30,709,174,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472,783,265.07 : 30,709,174,897.59 = 20,472,783,265.07 : x
  2. Step 2: Convert to fraction form
    20,472,783,265.07/30,709,174,897.59 = 20,472,783,265.07/x
  3. Step 3: Cross multiply
    20,472,783,265.07x = 30,709,174,897.59 × 20,472,783,265.07
  4. Step 4: Simplify right side
    20,472,783,265.07x = 628,702,281,927,488,307,200
  5. Step 5: Solve for x
    x = 628,702,281,927,488,307,200/20,472,783,265.07
  6. Step 6: Final answer
    x = 30,709,174,897.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.