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Finding the Fourth Proportional to 653,347,294.80, 901,682,804.52 and 488,047,886.16

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Solution

The fourth proportional to 653,347,294.80, 901,682,804.52 and 488,047,886.16 is: 673,553,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,347,294.80 : 901,682,804.52 = 488,047,886.16 : x
  2. Step 2: Convert to fraction form
    653,347,294.80/901,682,804.52 = 488,047,886.16/x
  3. Step 3: Cross multiply
    653,347,294.80x = 901,682,804.52 × 488,047,886.16
  4. Step 4: Simplify right side
    653,347,294.80x = 440,064,386,732,806,528
  5. Step 5: Solve for x
    x = 440,064,386,732,806,528/653,347,294.80
  6. Step 6: Final answer
    x = 673,553,545.31

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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.