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Finding the Fourth Proportional to 612,908,977,833.20, 919,363,466,749.80 and 612,908,977,833.20

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Solution

The fourth proportional to 612,908,977,833.20, 919,363,466,749.80 and 612,908,977,833.20 is: 919,363,466,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,908,977,833.20 : 919,363,466,749.80 = 612,908,977,833.20 : x
  2. Step 2: Convert to fraction form
    612,908,977,833.20/919,363,466,749.80 = 612,908,977,833.20/x
  3. Step 3: Cross multiply
    612,908,977,833.20x = 919,363,466,749.80 × 612,908,977,833.20
  4. Step 4: Simplify right side
    612,908,977,833.20x = 563,486,122,662,807,065,329,664
  5. Step 5: Solve for x
    x = 563,486,122,662,807,065,329,664/612,908,977,833.20
  6. Step 6: Final answer
    x = 919,363,466,749.80

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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.