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Finding the Fourth Proportional to 432,781,145,903.70, 604,655,256,980.70 and 432,781,145,903.70

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Solution

The fourth proportional to 432,781,145,903.70, 604,655,256,980.70 and 432,781,145,903.70 is: 604,655,256,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,781,145,903.70 : 604,655,256,980.70 = 432,781,145,903.70 : x
  2. Step 2: Convert to fraction form
    432,781,145,903.70/604,655,256,980.70 = 432,781,145,903.70/x
  3. Step 3: Cross multiply
    432,781,145,903.70x = 604,655,256,980.70 × 432,781,145,903.70
  4. Step 4: Simplify right side
    432,781,145,903.70x = 261,683,394,992,803,527,262,208
  5. Step 5: Solve for x
    x = 261,683,394,992,803,527,262,208/432,781,145,903.70
  6. Step 6: Final answer
    x = 604,655,256,980.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.