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Finding the Fourth Proportional to 459,077,486.40, 688,616,229.60 and 459,077,486.40

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Solution

The fourth proportional to 459,077,486.40, 688,616,229.60 and 459,077,486.40 is: 688,616,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,077,486.40 : 688,616,229.60 = 459,077,486.40 : x
  2. Step 2: Convert to fraction form
    459,077,486.40/688,616,229.60 = 459,077,486.40/x
  3. Step 3: Cross multiply
    459,077,486.40x = 688,616,229.60 × 459,077,486.40
  4. Step 4: Simplify right side
    459,077,486.40x = 316,128,207,779,013,248
  5. Step 5: Solve for x
    x = 316,128,207,779,013,248/459,077,486.40
  6. Step 6: Final answer
    x = 688,616,229.60

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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.