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Finding the Fourth Proportional to 977,737,523.10, 1,466,606,284.65 and 977,737,523.10

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Solution

The fourth proportional to 977,737,523.10, 1,466,606,284.65 and 977,737,523.10 is: 1,466,606,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,737,523.10 : 1,466,606,284.65 = 977,737,523.10 : x
  2. Step 2: Convert to fraction form
    977,737,523.10/1,466,606,284.65 = 977,737,523.10/x
  3. Step 3: Cross multiply
    977,737,523.10x = 1,466,606,284.65 × 977,737,523.10
  4. Step 4: Simplify right side
    977,737,523.10x = 1,433,955,996,116,584,704
  5. Step 5: Solve for x
    x = 1,433,955,996,116,584,704/977,737,523.10
  6. Step 6: Final answer
    x = 1,466,606,284.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.