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Finding the Fourth Proportional to 47,828,304,047.40, 71,742,456,071.10 and 47,828,304,047.40

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Solution

The fourth proportional to 47,828,304,047.40, 71,742,456,071.10 and 47,828,304,047.40 is: 71,742,456,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,828,304,047.40 : 71,742,456,071.10 = 47,828,304,047.40 : x
  2. Step 2: Convert to fraction form
    47,828,304,047.40/71,742,456,071.10 = 47,828,304,047.40/x
  3. Step 3: Cross multiply
    47,828,304,047.40x = 71,742,456,071.10 × 47,828,304,047.40
  4. Step 4: Simplify right side
    47,828,304,047.40x = 3,431,320,002,075,809,021,952
  5. Step 5: Solve for x
    x = 3,431,320,002,075,809,021,952/47,828,304,047.40
  6. Step 6: Final answer
    x = 71,742,456,071.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.