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Finding the Fourth Proportional to 209,742,048,009.30, 314,613,072,013.93 and 209,742,048,009.30

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Solution

The fourth proportional to 209,742,048,009.30, 314,613,072,013.93 and 209,742,048,009.30 is: 314,613,072,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,742,048,009.30 : 314,613,072,013.93 = 209,742,048,009.30 : x
  2. Step 2: Convert to fraction form
    209,742,048,009.30/314,613,072,013.93 = 209,742,048,009.30/x
  3. Step 3: Cross multiply
    209,742,048,009.30x = 314,613,072,013.93 × 209,742,048,009.30
  4. Step 4: Simplify right side
    209,742,048,009.30x = 65,987,590,054,699,056,758,784
  5. Step 5: Solve for x
    x = 65,987,590,054,699,056,758,784/209,742,048,009.30
  6. Step 6: Final answer
    x = 314,613,072,013.93

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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.