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Finding the Fourth Proportional to 663,317,460,501, 995,075,676,714.45 and 232,978,695,725.95

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Solution

The fourth proportional to 663,317,460,501, 995,075,676,714.45 and 232,978,695,725.95 is: 349,502,986,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,317,460,501 : 995,075,676,714.45 = 232,978,695,725.95 : x
  2. Step 2: Convert to fraction form
    663,317,460,501/995,075,676,714.45 = 232,978,695,725.95/x
  3. Step 3: Cross multiply
    663,317,460,501x = 995,075,676,714.45 × 232,978,695,725.95
  4. Step 4: Simplify right side
    663,317,460,501x = 231,831,433,309,549,638,975,488
  5. Step 5: Solve for x
    x = 231,831,433,309,549,638,975,488/663,317,460,501
  6. Step 6: Final answer
    x = 349,502,986,299.27

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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.