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Finding the Fourth Proportional to 577,041,527,881.60, 806,207,009,321.60 and 577,041,527,881.60

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Solution

The fourth proportional to 577,041,527,881.60, 806,207,009,321.60 and 577,041,527,881.60 is: 806,207,009,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,041,527,881.60 : 806,207,009,321.60 = 577,041,527,881.60 : x
  2. Step 2: Convert to fraction form
    577,041,527,881.60/806,207,009,321.60 = 577,041,527,881.60/x
  3. Step 3: Cross multiply
    577,041,527,881.60x = 806,207,009,321.60 × 577,041,527,881.60
  4. Step 4: Simplify right side
    577,041,527,881.60x = 465,214,924,447,791,366,275,072
  5. Step 5: Solve for x
    x = 465,214,924,447,791,366,275,072/577,041,527,881.60
  6. Step 6: Final answer
    x = 806,207,009,321.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.