Finding the Fourth Proportional to 4,698,745,875,570, 6,484,269,620,102.40 and 2,615,322,837,675.20
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Solution
The fourth proportional to 4,698,745,875,570, 6,484,269,620,102.40 and 2,615,322,837,675.20 is: 3,609,145,689,548.51
Step by Step Solution
- Step 1: Write the proportion equation
4,698,745,875,570 : 6,484,269,620,102.40 = 2,615,322,837,675.20 : x - Step 2: Convert to fraction form
4,698,745,875,570/6,484,269,620,102.40 = 2,615,322,837,675.20/x - Step 3: Cross multiply
4,698,745,875,570x = 6,484,269,620,102.40 × 2,615,322,837,675.20 - Step 4: Simplify right side
4,698,745,875,570x = 16,958,458,423,097,302,892,675,072 - Step 5: Solve for x
x = 16,958,458,423,097,302,892,675,072/4,698,745,875,570 - Step 6: Final answer
x = 3,609,145,689,548.51
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.