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Finding the Fourth Proportional to 997,434,015.90, 1,492,749,801.45 and 997,434,015.90

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Solution

The fourth proportional to 997,434,015.90, 1,492,749,801.45 and 997,434,015.90 is: 1,492,749,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,434,015.90 : 1,492,749,801.45 = 997,434,015.90 : x
  2. Step 2: Convert to fraction form
    997,434,015.90/1,492,749,801.45 = 997,434,015.90/x
  3. Step 3: Cross multiply
    997,434,015.90x = 1,492,749,801.45 × 997,434,015.90
  4. Step 4: Simplify right side
    997,434,015.90x = 1,488,919,429,194,201,088
  5. Step 5: Solve for x
    x = 1,488,919,429,194,201,088/997,434,015.90
  6. Step 6: Final answer
    x = 1,492,749,801.45

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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.