Finding the Fourth Proportional to 645,234,116,625.90, 967,374,034,781.15 and 390,206,803,237.53
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Solution
The fourth proportional to 645,234,116,625.90, 967,374,034,781.15 and 390,206,803,237.53 is: 585,021,653,257.99
Step by Step Solution
- Step 1: Write the proportion equation
645,234,116,625.90 : 967,374,034,781.15 = 390,206,803,237.53 : x - Step 2: Convert to fraction form
645,234,116,625.90/967,374,034,781.15 = 390,206,803,237.53/x - Step 3: Cross multiply
645,234,116,625.90x = 967,374,034,781.15 × 390,206,803,237.53 - Step 4: Simplify right side
645,234,116,625.90x = 377,475,929,646,943,734,595,584 - Step 5: Solve for x
x = 377,475,929,646,943,734,595,584/645,234,116,625.90 - Step 6: Final answer
x = 585,021,653,257.99
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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.