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Finding the Fourth Proportional to 651,620,004,753.90, 977,430,007,130.85 and 651,620,004,753.90

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Solution

The fourth proportional to 651,620,004,753.90, 977,430,007,130.85 and 651,620,004,753.90 is: 977,430,007,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,620,004,753.90 : 977,430,007,130.85 = 651,620,004,753.90 : x
  2. Step 2: Convert to fraction form
    651,620,004,753.90/977,430,007,130.85 = 651,620,004,753.90/x
  3. Step 3: Cross multiply
    651,620,004,753.90x = 977,430,007,130.85 × 651,620,004,753.90
  4. Step 4: Simplify right side
    651,620,004,753.90x = 636,912,945,893,209,005,883,392
  5. Step 5: Solve for x
    x = 636,912,945,893,209,005,883,392/651,620,004,753.90
  6. Step 6: Final answer
    x = 977,430,007,130.85

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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.