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Finding the Fourth Proportional to 226,934,852,339.02, 340,402,278,508.53 and 226,934,852,339.02

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Solution

The fourth proportional to 226,934,852,339.02, 340,402,278,508.53 and 226,934,852,339.02 is: 340,402,278,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,934,852,339.02 : 340,402,278,508.53 = 226,934,852,339.02 : x
  2. Step 2: Convert to fraction form
    226,934,852,339.02/340,402,278,508.53 = 226,934,852,339.02/x
  3. Step 3: Cross multiply
    226,934,852,339.02x = 340,402,278,508.53 × 226,934,852,339.02
  4. Step 4: Simplify right side
    226,934,852,339.02x = 77,249,140,809,199,219,900,416
  5. Step 5: Solve for x
    x = 77,249,140,809,199,219,900,416/226,934,852,339.02
  6. Step 6: Final answer
    x = 340,402,278,508.53

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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.