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Finding the Fourth Proportional to 474,928,460.80, 710,881,036.80 and 338,879,564.80

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Solution

The fourth proportional to 474,928,460.80, 710,881,036.80 and 338,879,564.80 is: 507,240,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,928,460.80 : 710,881,036.80 = 338,879,564.80 : x
  2. Step 2: Convert to fraction form
    474,928,460.80/710,881,036.80 = 338,879,564.80/x
  3. Step 3: Cross multiply
    474,928,460.80x = 710,881,036.80 × 338,879,564.80
  4. Step 4: Simplify right side
    474,928,460.80x = 240,903,056,375,356,768
  5. Step 5: Solve for x
    x = 240,903,056,375,356,768/474,928,460.80
  6. Step 6: Final answer
    x = 507,240,724.15

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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.