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Finding the Fourth Proportional to 651,685,176,000.40, 977,527,764,000.60 and 651,685,176,000.40

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Solution

The fourth proportional to 651,685,176,000.40, 977,527,764,000.60 and 651,685,176,000.40 is: 977,527,764,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,685,176,000.40 : 977,527,764,000.60 = 651,685,176,000.40 : x
  2. Step 2: Convert to fraction form
    651,685,176,000.40/977,527,764,000.60 = 651,685,176,000.40/x
  3. Step 3: Cross multiply
    651,685,176,000.40x = 977,527,764,000.60 × 651,685,176,000.40
  4. Step 4: Simplify right side
    651,685,176,000.40x = 637,040,352,928,008,538,947,584
  5. Step 5: Solve for x
    x = 637,040,352,928,008,538,947,584/651,685,176,000.40
  6. Step 6: Final answer
    x = 977,527,764,000.60

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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.