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Finding the Fourth Proportional to 910,342,847.70, 1,365,514,271.55 and 910,342,847.70

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Solution

The fourth proportional to 910,342,847.70, 1,365,514,271.55 and 910,342,847.70 is: 1,365,514,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,342,847.70 : 1,365,514,271.55 = 910,342,847.70 : x
  2. Step 2: Convert to fraction form
    910,342,847.70/1,365,514,271.55 = 910,342,847.70/x
  3. Step 3: Cross multiply
    910,342,847.70x = 1,365,514,271.55 × 910,342,847.70
  4. Step 4: Simplify right side
    910,342,847.70x = 1,243,086,150,537,818,112
  5. Step 5: Solve for x
    x = 1,243,086,150,537,818,112/910,342,847.70
  6. Step 6: Final answer
    x = 1,365,514,271.55

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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.