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Finding the Fourth Proportional to 651,657,376.70, 977,486,065.05 and 651,657,376.70

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Solution

The fourth proportional to 651,657,376.70, 977,486,065.05 and 651,657,376.70 is: 977,486,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,657,376.70 : 977,486,065.05 = 651,657,376.70 : x
  2. Step 2: Convert to fraction form
    651,657,376.70/977,486,065.05 = 651,657,376.70/x
  3. Step 3: Cross multiply
    651,657,376.70x = 977,486,065.05 × 651,657,376.70
  4. Step 4: Simplify right side
    651,657,376.70x = 636,986,004,911,288,576
  5. Step 5: Solve for x
    x = 636,986,004,911,288,576/651,657,376.70
  6. Step 6: Final answer
    x = 977,486,065.05

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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.