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Finding the Fourth Proportional to 597,655,497.84, 824,769,045 and 333,354,623.28

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Solution

The fourth proportional to 597,655,497.84, 824,769,045 and 333,354,623.28 is: 460,031,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,655,497.84 : 824,769,045 = 333,354,623.28 : x
  2. Step 2: Convert to fraction form
    597,655,497.84/824,769,045 = 333,354,623.28/x
  3. Step 3: Cross multiply
    597,655,497.84x = 824,769,045 × 333,354,623.28
  4. Step 4: Simplify right side
    597,655,497.84x = 274,940,574,288,980,352
  5. Step 5: Solve for x
    x = 274,940,574,288,980,352/597,655,497.84
  6. Step 6: Final answer
    x = 460,031,866.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.