Finding the Fourth Proportional to 1,353,047,282,374.10, 1,867,240,637,930.80 and 735,786,101,657.44
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Solution
The fourth proportional to 1,353,047,282,374.10, 1,867,240,637,930.80 and 735,786,101,657.44 is: 1,015,404,064,393.66
Step by Step Solution
- Step 1: Write the proportion equation
1,353,047,282,374.10 : 1,867,240,637,930.80 = 735,786,101,657.44 : x - Step 2: Convert to fraction form
1,353,047,282,374.10/1,867,240,637,930.80 = 735,786,101,657.44/x - Step 3: Cross multiply
1,353,047,282,374.10x = 1,867,240,637,930.80 × 735,786,101,657.44 - Step 4: Simplify right side
1,353,047,282,374.10x = 1,373,889,709,839,454,778,163,200 - Step 5: Solve for x
x = 1,373,889,709,839,454,778,163,200/1,353,047,282,374.10 - Step 6: Final answer
x = 1,015,404,064,393.66
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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.