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Finding the Fourth Proportional to 515,875,392,135.60, 773,813,088,203.40 and 515,875,392,135.60

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Solution

The fourth proportional to 515,875,392,135.60, 773,813,088,203.40 and 515,875,392,135.60 is: 773,813,088,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,875,392,135.60 : 773,813,088,203.40 = 515,875,392,135.60 : x
  2. Step 2: Convert to fraction form
    515,875,392,135.60/773,813,088,203.40 = 515,875,392,135.60/x
  3. Step 3: Cross multiply
    515,875,392,135.60x = 773,813,088,203.40 × 515,875,392,135.60
  4. Step 4: Simplify right side
    515,875,392,135.60x = 399,191,130,316,588,619,661,312
  5. Step 5: Solve for x
    x = 399,191,130,316,588,619,661,312/515,875,392,135.60
  6. Step 6: Final answer
    x = 773,813,088,203.40

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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.