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Finding the Fourth Proportional to 476,177,548,802.40, 714,266,323,203.60 and 476,177,548,802.40

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Solution

The fourth proportional to 476,177,548,802.40, 714,266,323,203.60 and 476,177,548,802.40 is: 714,266,323,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,177,548,802.40 : 714,266,323,203.60 = 476,177,548,802.40 : x
  2. Step 2: Convert to fraction form
    476,177,548,802.40/714,266,323,203.60 = 476,177,548,802.40/x
  3. Step 3: Cross multiply
    476,177,548,802.40x = 714,266,323,203.60 × 476,177,548,802.40
  4. Step 4: Simplify right side
    476,177,548,802.40x = 340,117,586,975,193,068,208,128
  5. Step 5: Solve for x
    x = 340,117,586,975,193,068,208,128/476,177,548,802.40
  6. Step 6: Final answer
    x = 714,266,323,203.60

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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.