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Finding the Fourth Proportional to 432,781,145,909.70, 604,655,256,989.10 and 432,781,145,909.70

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Solution

The fourth proportional to 432,781,145,909.70, 604,655,256,989.10 and 432,781,145,909.70 is: 604,655,256,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,781,145,909.70 : 604,655,256,989.10 = 432,781,145,909.70 : x
  2. Step 2: Convert to fraction form
    432,781,145,909.70/604,655,256,989.10 = 432,781,145,909.70/x
  3. Step 3: Cross multiply
    432,781,145,909.70x = 604,655,256,989.10 × 432,781,145,909.70
  4. Step 4: Simplify right side
    432,781,145,909.70x = 261,683,395,000,066,820,276,224
  5. Step 5: Solve for x
    x = 261,683,395,000,066,820,276,224/432,781,145,909.70
  6. Step 6: Final answer
    x = 604,655,256,989.10

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