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Finding the Fourth Proportional to 829,671,948.80, 1,244,507,923.20 and 829,671,948.80

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Solution

The fourth proportional to 829,671,948.80, 1,244,507,923.20 and 829,671,948.80 is: 1,244,507,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,671,948.80 : 1,244,507,923.20 = 829,671,948.80 : x
  2. Step 2: Convert to fraction form
    829,671,948.80/1,244,507,923.20 = 829,671,948.80/x
  3. Step 3: Cross multiply
    829,671,948.80x = 1,244,507,923.20 × 829,671,948.80
  4. Step 4: Simplify right side
    829,671,948.80x = 1,032,533,313,938,384,768
  5. Step 5: Solve for x
    x = 1,032,533,313,938,384,768/829,671,948.80
  6. Step 6: Final answer
    x = 1,244,507,923.20

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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.