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Finding the Fourth Proportional to 706,207,744,007.60, 1,059,311,616,011.40 and 706,207,744,007.60

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Solution

The fourth proportional to 706,207,744,007.60, 1,059,311,616,011.40 and 706,207,744,007.60 is: 1,059,311,616,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,207,744,007.60 : 1,059,311,616,011.40 = 706,207,744,007.60 : x
  2. Step 2: Convert to fraction form
    706,207,744,007.60/1,059,311,616,011.40 = 706,207,744,007.60/x
  3. Step 3: Cross multiply
    706,207,744,007.60x = 1,059,311,616,011.40 × 706,207,744,007.60
  4. Step 4: Simplify right side
    706,207,744,007.60x = 748,094,066,544,455,867,957,248
  5. Step 5: Solve for x
    x = 748,094,066,544,455,867,957,248/706,207,744,007.60
  6. Step 6: Final answer
    x = 1,059,311,616,011.40

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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.