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Finding the Fourth Proportional to 430,070,472,000.35, 645,105,708,000.50 and 430,070,472,000.35

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Solution

The fourth proportional to 430,070,472,000.35, 645,105,708,000.50 and 430,070,472,000.35 is: 645,105,708,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,070,472,000.35 : 645,105,708,000.50 = 430,070,472,000.35 : x
  2. Step 2: Convert to fraction form
    430,070,472,000.35/645,105,708,000.50 = 430,070,472,000.35/x
  3. Step 3: Cross multiply
    430,070,472,000.35x = 645,105,708,000.50 × 430,070,472,000.35
  4. Step 4: Simplify right side
    430,070,472,000.35x = 277,440,916,329,894,974,062,592
  5. Step 5: Solve for x
    x = 277,440,916,329,894,974,062,592/430,070,472,000.35
  6. Step 6: Final answer
    x = 645,105,708,000.50

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1.5x scale

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.