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Finding the Fourth Proportional to 472,392,097.20, 708,588,145.80 and 411,925,921.20

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Solution

The fourth proportional to 472,392,097.20, 708,588,145.80 and 411,925,921.20 is: 617,888,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,097.20 : 708,588,145.80 = 411,925,921.20 : x
  2. Step 2: Convert to fraction form
    472,392,097.20/708,588,145.80 = 411,925,921.20/x
  3. Step 3: Cross multiply
    472,392,097.20x = 708,588,145.80 × 411,925,921.20
  4. Step 4: Simplify right side
    472,392,097.20x = 291,885,824,710,064,896
  5. Step 5: Solve for x
    x = 291,885,824,710,064,896/472,392,097.20
  6. Step 6: Final answer
    x = 617,888,881.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.