Finding the Fourth Proportional to 927,148,032,116.80, 1,390,722,048,175.20 and 778,378,564,340.80
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Solution
The fourth proportional to 927,148,032,116.80, 1,390,722,048,175.20 and 778,378,564,340.80 is: 1,167,567,846,511.20
Step by Step Solution
- Step 1: Write the proportion equation
927,148,032,116.80 : 1,390,722,048,175.20 = 778,378,564,340.80 : x - Step 2: Convert to fraction form
927,148,032,116.80/1,390,722,048,175.20 = 778,378,564,340.80/x - Step 3: Cross multiply
927,148,032,116.80x = 1,390,722,048,175.20 × 778,378,564,340.80 - Step 4: Simplify right side
927,148,032,116.80x = 1,082,508,231,255,709,035,003,904 - Step 5: Solve for x
x = 1,082,508,231,255,709,035,003,904/927,148,032,116.80 - Step 6: Final answer
x = 1,167,567,846,511.20
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.