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Finding the Fourth Proportional to 509,841,374.76, 761,859,672.48 and 382,817,368.08

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Solution

The fourth proportional to 509,841,374.76, 761,859,672.48 and 382,817,368.08 is: 572,046,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,841,374.76 : 761,859,672.48 = 382,817,368.08 : x
  2. Step 2: Convert to fraction form
    509,841,374.76/761,859,672.48 = 382,817,368.08/x
  3. Step 3: Cross multiply
    509,841,374.76x = 761,859,672.48 × 382,817,368.08
  4. Step 4: Simplify right side
    509,841,374.76x = 291,653,114,665,084,416
  5. Step 5: Solve for x
    x = 291,653,114,665,084,416/509,841,374.76
  6. Step 6: Final answer
    x = 572,046,775.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.