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Finding the Fourth Proportional to 538,273,492, 742,817,718.12 and 290,754,848.68

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Solution

The fourth proportional to 538,273,492, 742,817,718.12 and 290,754,848.68 is: 401,241,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,273,492 : 742,817,718.12 = 290,754,848.68 : x
  2. Step 2: Convert to fraction form
    538,273,492/742,817,718.12 = 290,754,848.68/x
  3. Step 3: Cross multiply
    538,273,492x = 742,817,718.12 × 290,754,848.68
  4. Step 4: Simplify right side
    538,273,492x = 215,977,853,228,803,488
  5. Step 5: Solve for x
    x = 215,977,853,228,803,488/538,273,492
  6. Step 6: Final answer
    x = 401,241,852.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.