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Finding the Fourth Proportional to 651,657,314.70, 977,485,972.05 and 651,657,314.70

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Solution

The fourth proportional to 651,657,314.70, 977,485,972.05 and 651,657,314.70 is: 977,485,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,657,314.70 : 977,485,972.05 = 651,657,314.70 : x
  2. Step 2: Convert to fraction form
    651,657,314.70/977,485,972.05 = 651,657,314.70/x
  3. Step 3: Cross multiply
    651,657,314.70x = 977,485,972.05 × 651,657,314.70
  4. Step 4: Simplify right side
    651,657,314.70x = 636,985,883,703,022,208
  5. Step 5: Solve for x
    x = 636,985,883,703,022,208/651,657,314.70
  6. Step 6: Final answer
    x = 977,485,972.05

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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.