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Finding the Fourth Proportional to 602,358,041.08, 832,011,784.59 and 496,893,640.24

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Solution

The fourth proportional to 602,358,041.08, 832,011,784.59 and 496,893,640.24 is: 686,338,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,358,041.08 : 832,011,784.59 = 496,893,640.24 : x
  2. Step 2: Convert to fraction form
    602,358,041.08/832,011,784.59 = 496,893,640.24/x
  3. Step 3: Cross multiply
    602,358,041.08x = 832,011,784.59 × 496,893,640.24
  4. Step 4: Simplify right side
    602,358,041.08x = 413,421,364,367,503,872
  5. Step 5: Solve for x
    x = 413,421,364,367,503,872/602,358,041.08
  6. Step 6: Final answer
    x = 686,338,250.96

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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.