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Finding the Fourth Proportional to 474,935,533.60, 712,403,300.40 and 474,935,533.60

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Solution

The fourth proportional to 474,935,533.60, 712,403,300.40 and 474,935,533.60 is: 712,403,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,935,533.60 : 712,403,300.40 = 474,935,533.60 : x
  2. Step 2: Convert to fraction form
    474,935,533.60/712,403,300.40 = 474,935,533.60/x
  3. Step 3: Cross multiply
    474,935,533.60x = 712,403,300.40 × 474,935,533.60
  4. Step 4: Simplify right side
    474,935,533.60x = 338,345,641,613,875,072
  5. Step 5: Solve for x
    x = 338,345,641,613,875,072/474,935,533.60
  6. Step 6: Final answer
    x = 712,403,300.40

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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.