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Finding the Fourth Proportional to 614,461,740,752.40, 921,692,611,128.55 and 614,461,740,752.40

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Solution

The fourth proportional to 614,461,740,752.40, 921,692,611,128.55 and 614,461,740,752.40 is: 921,692,611,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,461,740,752.40 : 921,692,611,128.55 = 614,461,740,752.40 : x
  2. Step 2: Convert to fraction form
    614,461,740,752.40/921,692,611,128.55 = 614,461,740,752.40/x
  3. Step 3: Cross multiply
    614,461,740,752.40x = 921,692,611,128.55 × 614,461,740,752.40
  4. Step 4: Simplify right side
    614,461,740,752.40x = 566,344,846,272,673,781,645,312
  5. Step 5: Solve for x
    x = 566,344,846,272,673,781,645,312/614,461,740,752.40
  6. Step 6: Final answer
    x = 921,692,611,128.55

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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.